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Finding Square Roots Using Prime Factorisation

Evaluate the ...

Question

Evaluate the square root of 20.25.

A

2.5

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B

3.5

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C

4.5

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D

5.5

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Solution

The correct option is C 4.5
20.25

$\begin{matrix} 4.5 4 & ¯ ¯¯¯¯ ¯ 20 \cdot ¯ ¯¯¯¯ ¯ 25 (-) 16 85 & 425 (-) 425 0 \end{matrix}$

Hence, the square root of 20.25 is 4.5.

The correct option is C.

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