Expressed as the product of its prime factors, $240={{2}^{4}} imes 3 imes 5$. Express $7056$ as a

Question

Expressed as the product of its prime factors, $240={{2}^{4}}	imes 3	imes 5$. Express $7056$ as a product of prime factors. Use your answer in (a) to find the positive square root of $7056$, leaving your answer in index notation. Find the smallest positive integer $n$ for which $\sqrt{240n}$ is a whole number.

Accepted Answer

(a) $2^4\times3^2\times7^2$ (b) $2^2\times3\times7$ (c) $15$

Prime Factorisation and Square Roots

Prime Factorisation and Square Roots

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