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  729 


Answer:_______________




2)  

  What is  225 


Answer:_______________




3)  

  What is the positive square root of  9216


Answer:_______________




4)  

  What is  196 


Answer:_______________




5)  

  What is  289 


Answer:_______________




6)  

  What is the positive square root of  4761


Answer:_______________




7)  

  What is  484 


Answer:_______________




8)  

  What is  16 


Answer:_______________




9)  

  What is the positive square root of  6400


Answer:_______________




10)  

  What is  9 


Answer:_______________




 

1)  

  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

So   729   is  27.



2)  

  What is  225 

Answer: -15


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 225.

Figure out which number squared (multiplied by itself) equals 225.

The number -152 squared equals 225.

225 = -15 × -15 = 225

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

So   225   is  -15.



3)  

  What is the positive square root of  9216

Answer: 96


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 9216.

Figure out which number squared (multiplied by itself) equals 9216.

The number 962 squared equals 9216.

9216 = 96 × 96 = 9216

So  the positive  9216   is  96.



4)  

  What is  196 

Answer: 14


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 196.

Figure out which number squared (multiplied by itself) equals 196.

The number 142 squared equals 196.

196 = 14 × 14 = 196

So   196   is  14.



5)  

  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.



6)  

  What is the positive square root of  4761

Answer: 69


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 4761.

Figure out which number squared (multiplied by itself) equals 4761.

The number 692 squared equals 4761.

4761 = 69 × 69 = 4761

So  the positive  4761   is  69.



7)  

  What is  484 

Answer: 22


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 484.

Figure out which number squared (multiplied by itself) equals 484.

The number 222 squared equals 484.

484 = 22 × 22 = 484

So   484   is  22.



8)  

  What is  16 

Answer: -4


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 16.

Figure out which number squared (multiplied by itself) equals 16.

The number -42 squared equals 16.

16 = -4 × -4 = 16

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

So   16   is  -4.



9)  

  What is the positive square root of  6400

Answer: 80


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 6400.

Figure out which number squared (multiplied by itself) equals 6400.

The number 802 squared equals 6400.

6400 = 80 × 80 = 6400

So  the positive  6400   is  80.



10)  

  What is  9 

Answer: 3


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 9.

Figure out which number squared (multiplied by itself) equals 9.

The number 32 squared equals 9.

9 = 3 × 3 = 9

So   9   is  3.