Question

Find the smallest number by which 17496 must be divided, so that the qutient is a perfect cube. Also find the cube root of the qutient​

Answer 1

17496 KA L.C.M LE LO MATE

17496=2×2×2×3×3×3×3×3×3×3

● THREE(3) IN NOT IN TRIPLET .TO MAKE A PERFECT CUBE.WE DIVIDED BY ((3)) BOTH SIDES........

$\frac{2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 }{3}$

cut 3♡♡

now

17496÷3=2×2×2×3×3×3×3×3×3

5,832=2×3×3

5832=6×3

5,832=18

$3 \sqrt{5832} = 3\sqrt{18}$

$\sqrt{5832} = \sqrt{18}$

now 18 is a perfect cube

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