Scroll:Numbers >> Square roots >> saq (4106)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

  What is  81 


Answer:_______________




2)  

  What is the positive square root of  3249


Answer:_______________




3)  

  What is  169 


Answer:_______________




4)  

  What is  289 


Answer:_______________




5)  

  What is the positive square root of  3364


Answer:_______________




6)  

  What is  361 


Answer:_______________




7)  

  What is  625 


Answer:_______________




8)  

  What is the positive square root of  4489


Answer:_______________




9)  

  What is  4 


Answer:_______________




10)  

  What is  729 


Answer:_______________




 

1)  

  What is  81 

Answer: -9


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 81.

Figure out which number squared (multiplied by itself) equals 81.

The number -92 squared equals 81.

81 = -9 × -9 = 81

Finally, include the negative sign to get the negative square root.

So   81   is  -9.



2)  

  What is the positive square root of  3249

Answer: 57


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 *3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 3249.

Figure out which number squared (multiplied by itself) equals 3249.

The number 572 squared equals 3249.

3249 = 57 × 57 = 3249

So  the positive  3249   is  57.



3)  

  What is  169 

Answer: 13


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 169.

Figure out which number squared (multiplied by itself) equals 169.

The number 132 squared equals 169.

169 = 13 × 13 = 169

So   169   is  13.



4)  

  What is  289 

Answer: -17


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 289.

Figure out which number squared (multiplied by itself) equals 289.

The number -172 squared equals 289.

289 = -17 × -17 = 289

Finally, include the negative sign to get the negative square root.

So   289   is  -17.



5)  

  What is the positive square root of  3364

Answer: 58


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 *3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 3364.

Figure out which number squared (multiplied by itself) equals 3364.

The number 582 squared equals 3364.

3364 = 58 × 58 = 3364

So  the positive  3364   is  58.



6)  

  What is  361 

Answer: 19


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 361.

Figure out which number squared (multiplied by itself) equals 361.

The number 192 squared equals 361.

361 = 19 × 19 = 361

So   361   is  19.



7)  

  What is  625 

Answer: -25


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 625.

Figure out which number squared (multiplied by itself) equals 625.

The number -252 squared equals 625.

625 = -25 × -25 = 625

Finally, include the negative sign to get the negative square root.

So   625   is  -25.



8)  

  What is the positive square root of  4489

Answer: 67


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 *3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 4489.

Figure out which number squared (multiplied by itself) equals 4489.

The number 672 squared equals 4489.

4489 = 67 × 67 = 4489

So  the positive  4489   is  67.



9)  

  What is  4 

Answer: 2


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 4.

Figure out which number squared (multiplied by itself) equals 4.

The number 22 squared equals 4.

4 = 2 × 2 = 4

So   4   is  2.



10)  

  What is  729 

Answer: -27


SOLUTION 1 :

Remember:

To find the square root of a given number, figure out which number squared (multiplied by itself) equals that given number.

Every positive number has both a positive and a negative square root. The radical symbol ( ) means the positive square root.

For example, 9 = 3 since 9 = 32 and 3 is positive.

Solve:

You want to find the positive square root of 729.

Figure out which number squared (multiplied by itself) equals 729.

The number -272 squared equals 729.

729 = -27 × -27 = 729

Finally, include the negative sign to get the negative square root.

So   729   is  -27.