Question

576,Check if the given number are perfect square or not.

Answer 1

$\text{Your answer !!}$

$\large\huge {Let's find =>}$

$= > \sqrt{576} \\ \\ = > \sqrt{2 \times2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 } \\ \\ = > \sqrt{(2 \times 2)(2 \times 2)(2 \times 2)(3 \times 3)} \\ \\ = > 2 \times 2 \times 2 \times 3 \\ \\ = > 4 \times 6 \\ \\ = > 24$

$\textbf {Hence, 576 is a perfect square of 24 !!}$

$\text { Thanks !!}$

Answer 2

Solution :

Resolving 576 into product of prime,

we get,

2 | 576
______
2 | 288
______
2 | 144
______
2 | 72
______
2 | 36
______
2 | 18
______
3 | 9
______
**** 3



576 = 2×2×2×2×2×2×3×3

= (2×2)×(2×2)×(2×2)×(3×3)

= ( 2 × 2 × 2 × 3 )²

= 24² ( Perfect square )

Therefore ,

576 = 24²

••••