Question

rewrite this radicand as two factors, one of which is a perfect square. \\(\sqrt{60}\\) \\(\sqrt{10\cdot 6}\\) \\(\sqrt{12\cdot 5}\\) \\(\sqrt{20\cdot 3}\\) \\(\sqrt{4\cdot 15}\\)

Explanation:

Step1: Identify perfect square factors

First, list perfect squares that divide 60: 4 is the largest perfect square factor of 60 (since $4 \times 15 = 60$, and 4 is $2^2$, a perfect square).

Step2: Rewrite the radicand

Express 60 as the product of the perfect square and the remaining factor inside the square root.
$\sqrt{60} = \sqrt{4 \cdot 15}$

Answer:

$\boldsymbol{\sqrt{4 \cdot 15}}$