Question

486 by which smallest number should multiplied so the product becomes perfect square

Answer 1

hey mate ,
by doing prime factorisation method of
486=2×3×3×3×3×3
486=2×3
486=6
486×6=2916
2×2×3×3×3×3×3×3=2916

Answer 2

Firstly, we will find the prime factors of 486

486 = 2 × 3 × 3 × 3 × 3 × 3

Common factors = 3 × 3

Uncommon factors = 2 × 3

= 6

$\therefore{}$ 6 is the smallest number by which 486 should be multiplied, so the product becomes a perfect square.

Let's check...


486 × 6 = 2916

$\sqrt{2916}$ = 54