Problem

Simplify. \[ \sqrt{48} \]

Solution

Step 1 :The square root of 48 is not a simple integer, but we can simplify it by factoring 48 into its prime factors and then grouping them into pairs. The square root of each pair is then an integer that can be taken out of the square root.

Step 2 :48 can be factored into \(2 \times 2 \times 2 \times 2 \times 3\)

Step 3 :Grouping the factors into pairs, we get \(2 \times 2\) and \(2 \times 2\), with a remaining 3

Step 4 :The square root of each pair is an integer that can be taken out of the square root, so we get \(4 \sqrt{3}\)

Step 5 :\(\boxed{4\sqrt{3}}\) is the simplified form of \(\sqrt{48}\)

From Solvely APP
Source: https://solvelyapp.com/problems/YJYT4wbC6j/

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