Find the square root of:

(2) 576

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Solution

Prime factorisation of 576:

$\begin{matrix} 2 & 576 \\ 2 & 288 \\ 2 & 144 \\ 2 & 72 \\ 2 & 36 \\ 2 & 18 \\ 3 & 9 \\ 3 & 3 \\ 1 \end{matrix}$

= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
= (2 × 2 × 2 × 3)²

∴ Square root of 576 = 2 × 2 × 2 × 3 = 24

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Find the square roots of 576 Division method.

Question 1 (ix)
Find the square roots of each of the following numbers by Division method:

576

The area of a square is $576 c m^{2}$ . Find the length of its side and diagonal.

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