Question

Find the smallest number by which 10368 be divided so that the result is a perfect square also find the square root of resulting number

Answer 1

210368251842259221296264823242162




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3 81
3 27
3 9
3 3
1
∴3645=2*2*2*2*2*2×2×3×3×3×3×


∴ We have to divide 10368 by 2 to get, 2*2*2*2*2*2×2 ×3×3×3×3

i.e,103682=5184
=2*2 2*2 2 ×2−−−−−×3×3−−−−−×3×3−−−−−

√5184=2 * 2 * 2 ×3×3=72