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Finding Square Root through Prime Factorisation

Find the squa...

Question

Find the square root of $225$ .

A

12

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B

13

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C

15

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D

None of these

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Solution

The correct option is A 15
Here, $225 = 3 \times 3 \times 5 \times 5 = (3 \times 5)^{2} = (15)^{2}$
Therefore, option C is the correct answer.

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Q. Complete the following table.

Sr. No.	Number	Power of the root	Root of the power
(1)	${(225)}^{\frac{3}{2}}$	Cube of square root of 225	Square root of cube of 225
(2)	${(45)}^{\frac{4}{5}}$
(3)	${(81)}^{\frac{6}{7}}$
(4)	${(100)}^{\frac{4}{10}}$
(5)	${(21)}^{\frac{3}{7}}$

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