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  289 


Answer:_______________




2)  

  What is the positive square root of  1849


Answer:_______________




3)  

  What is  529 


Answer:_______________




4)  

  What is  144 


Answer:_______________




5)  

  What is the positive square root of  9801


Answer:_______________




6)  

  What is  400 


Answer:_______________




7)  

  What is  676 


Answer:_______________




8)  

  What is the positive square root of  2025


Answer:_______________




9)  

  What is  25 


Answer:_______________




10)  

  What is  1 


Answer:_______________




 

1)  

  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.



2)  

  What is the positive square root of  1849

Answer: 43


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 1849.

Figure out which number squared (multiplied by itself) equals 1849.

The number 432 squared equals 1849.

1849 = 43 × 43 = 1849

So  the positive  1849   is  43.



3)  

  What is  529 

Answer: 23


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 529.

Figure out which number squared (multiplied by itself) equals 529.

The number 232 squared equals 529.

529 = 23 × 23 = 529

So   529   is  23.



4)  

  What is  144 

Answer: -12


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 144.

Figure out which number squared (multiplied by itself) equals 144.

The number -122 squared equals 144.

144 = -12 × -12 = 144

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

So   144   is  -12.



5)  

  What is the positive square root of  9801

Answer: 99


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 9801.

Figure out which number squared (multiplied by itself) equals 9801.

The number 992 squared equals 9801.

9801 = 99 × 99 = 9801

So  the positive  9801   is  99.



6)  

  What is  400 

Answer: 20


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 400.

Figure out which number squared (multiplied by itself) equals 400.

The number 202 squared equals 400.

400 = 20 × 20 = 400

So   400   is  20.



7)  

  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.



8)  

  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.



9)  

  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.



10)  

  What is  1 

Answer: -1


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 1.

Figure out which number squared (multiplied by itself) equals 1.

The number -12 squared equals 1.

1 = -1 × -1 = 1

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

So   1   is  -1.