The prime factorisation of two numbers are $2^{5} \times 5^{10} \times 11 \times 13^{2}$ and \(2^{

Question

The prime factorisation of two numbers are $2^{5} \times 5^{10} \times 11 \times 13^{2}$ and $2^{3} \times 5 \times 11 \times 17^{3}$. Find the HCF and, LCM of these two numbers, expressing your answers in index notation. Find the smallest positive integer $k$ such that $\sqrt{2^{5} \times 5^{10} \times 11 \times 13^{2} \times k}$ is a whole number.

Accepted Answer

(a)(i) $2^3\times5\times11$ (a)(ii) $2^5\times5^{10}\times11\times13^2\times17^3$ (b) $k=22$

IP1U1 SWII Q12

IP1U1 SWII Q12

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