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  625 


Answer:_______________




3)  

  What is the positive square root of  2704


Answer:_______________




4)  

  What is  64 


Answer:_______________




5)  

  What is  441 


Answer:_______________




6)  

  What is the positive square root of  2304


Answer:_______________




7)  

  What is  81 


Answer:_______________




8)  

  What is  36 


Answer:_______________




9)  

  What is the positive square root of  7744


Answer:_______________




10)  

  What is  100 


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  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.



3)  

  What is the positive square root of  2704

Answer: 52


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 2704.

Figure out which number squared (multiplied by itself) equals 2704.

The number 522 squared equals 2704.

2704 = 52 × 52 = 2704

So  the positive  2704   is  52.



4)  

  What is  64 

Answer: 8


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 64.

Figure out which number squared (multiplied by itself) equals 64.

The number 82 squared equals 64.

64 = 8 × 8 = 64

So   64   is  8.



5)  

  What is  441 

Answer: -21


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 441.

Figure out which number squared (multiplied by itself) equals 441.

The number -212 squared equals 441.

441 = -21 × -21 = 441

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

So   441   is  -21.



6)  

  What is the positive square root of  2304

Answer: 48


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 2304.

Figure out which number squared (multiplied by itself) equals 2304.

The number 482 squared equals 2304.

2304 = 48 × 48 = 2304

So  the positive  2304   is  48.



7)  

  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

So   81   is  9.



8)  

  What is  36 

Answer: -6


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 36.

Figure out which number squared (multiplied by itself) equals 36.

The number -62 squared equals 36.

36 = -6 × -6 = 36

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

So   36   is  -6.



9)  

  What is the positive square root of  7744

Answer: 88


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 7744.

Figure out which number squared (multiplied by itself) equals 7744.

The number 882 squared equals 7744.

7744 = 88 × 88 = 7744

So  the positive  7744   is  88.



10)  

  What is  100 

Answer: 10


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 100.

Figure out which number squared (multiplied by itself) equals 100.

The number 102 squared equals 100.

100 = 10 × 10 = 100

So   100   is  10.