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  324 


Answer:_______________




2)  

  What is  169 


Answer:_______________




3)  

  What is the positive square root of  2025


Answer:_______________




4)  

  What is  25 


Answer:_______________




5)  

  What is  900 


Answer:_______________




6)  

  What is the positive square root of  8649


Answer:_______________




7)  

  What is  4 


Answer:_______________




8)  

  What is  676 


Answer:_______________




9)  

  What is the positive square root of  2401


Answer:_______________




10)  

  What is  576 


Answer:_______________




 

1)  

  What is  324 

Answer: 18


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 324.

Figure out which number squared (multiplied by itself) equals 324.

The number 182 squared equals 324.

324 = 18 × 18 = 324

So   324   is  18.



2)  

  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

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

So   169   is  -13.



3)  

  What is the positive square root of  2025

Answer: 45


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 2025.

Figure out which number squared (multiplied by itself) equals 2025.

The number 452 squared equals 2025.

2025 = 45 × 45 = 2025

So  the positive  2025   is  45.



4)  

  What is  25 

Answer: 5


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 25.

Figure out which number squared (multiplied by itself) equals 25.

The number 52 squared equals 25.

25 = 5 × 5 = 25

So   25   is  5.



5)  

  What is  900 

Answer: -30


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 900.

Figure out which number squared (multiplied by itself) equals 900.

The number -302 squared equals 900.

900 = -30 × -30 = 900

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

So   900   is  -30.



6)  

  What is the positive square root of  8649

Answer: 93


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 8649.

Figure out which number squared (multiplied by itself) equals 8649.

The number 932 squared equals 8649.

8649 = 93 × 93 = 8649

So  the positive  8649   is  93.



7)  

  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.



8)  

  What is  676 

Answer: -26


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 676.

Figure out which number squared (multiplied by itself) equals 676.

The number -262 squared equals 676.

676 = -26 × -26 = 676

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

So   676   is  -26.



9)  

  What is the positive square root of  2401

Answer: 49


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 2401.

Figure out which number squared (multiplied by itself) equals 2401.

The number 492 squared equals 2401.

2401 = 49 × 49 = 2401

So  the positive  2401   is  49.



10)  

  What is  576 

Answer: 24


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 576.

Figure out which number squared (multiplied by itself) equals 576.

The number 242 squared equals 576.

576 = 24 × 24 = 576

So   576   is  24.