How do you Simplify the square root of 162?

Answer 1

To simplify the square root of 162, first factor it into its prime components: (162 = 81 \times 2 = 9 \times 9 \times 2 = 3^4 \times 2). The square root of 162 can then be expressed as (\sqrt{162} = \sqrt{81 \times 2} = \sqrt{81} \times \sqrt{2} = 9\sqrt{2}). Thus, the simplified form of (\sqrt{162}) is (9\sqrt{2}).