Question
Simplify the radical expression: \( \sqrt{72} \)
Ask by Logan Moran. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \sqrt{72} = 6\sqrt{2} \)
Solution
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The Deep Dive
To simplify \( \sqrt{72} \), we can factor 72 into its prime factors: \( 72 = 36 \times 2 \) and since \( \sqrt{36} = 6 \), we can express the radical as follows: \( \sqrt{72} = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2} = 6\sqrt{2} \). Remember, breaking down radicals can turn a complicated expression into something much more manageable! Keep practicing with different numbers, and you'll get the hang of it in no time!