Question

Find the smallest number by which each of the following numbers must be divided so that quotient is a perfect cube. Also, find the cube root of the quotient. 1458​

Answer 1

Answer:

$Factors \: of \: 1458 = 2×3×3×3×3×3×3 \\ = {2}^{1} \times {3}^{6} \\ to \: make \: it \: a \: perfect \: cube \: we \: need \: to \\multiply \: it \: by \: 4( = 2 \times 2) \\ so \: the \: number \: is \: \\ 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \\ = 5,832\\the \: cube \: root \: of \: 5832 \: is \: 1,944 \\ \\ note: to \: make \: it \: a \: perfect \: cube \\ we \: need \: to \: complete \: the \: pairs \\ (each \: pair \:should \: have \: 3 \: numbers)$

Answer 2

Answer:

Neeraj r.no 32

1.calamity

2.natural,man- made

3.landslides

4.natural factors

5.uttrakand