QuestionAugust 27, 2025

Express in simplest radical form. sqrt (162) Answer Attemptiout of square

Express in simplest radical form. sqrt (162) Answer Attemptiout of square
Express in simplest radical form.
sqrt (162)
Answer Attemptiout of
square

Solution
4.2(125 votes)

Answer

9\sqrt{2} Explanation 1. Factor the number under the square root 162 = 2 \times 81 = 2 \times 3^4 2. Simplify using properties of square roots \sqrt{162} = \sqrt{2 \times 3^4} = \sqrt{2} \times \sqrt{3^4} 3. Simplify further by taking out perfect squares \sqrt{3^4} = 3^2 = 9, so \sqrt{162} = 9\sqrt{2}

Explanation

1. Factor the number under the square root<br /> $162 = 2 \times 81 = 2 \times 3^4$<br />2. Simplify using properties of square roots<br /> $\sqrt{162} = \sqrt{2 \times 3^4} = \sqrt{2} \times \sqrt{3^4}$<br />3. Simplify further by taking out perfect squares<br /> $\sqrt{3^4} = 3^2 = 9$, so $\sqrt{162} = 9\sqrt{2}$
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