Math  /  Algebra

QuestionSimplify: 24×12\sqrt{24} \times \sqrt{12} to find the result.

Studdy Solution
We can simplify the square root by taking out pairs of numbers. For every pair of the same number, one number can come out of the square root.
288=25×32=22×3×2=122\sqrt{288} = \sqrt{2^5 \times3^2} =2^2 \times3 \times \sqrt{2} =12 \sqrt{2}So, 24×12\sqrt{24} \times \sqrt{12} simplifies to 12212 \sqrt{2}.

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