Decimal Squares

Algebra Level 1

What is the product of the square root of 18 and the square root of 72?


The answer is 36.

Nathan Laurence by Nathan Laurence , 19, Indonesia

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2 solutions

Munem Shahriar
Jan 8, 2018

72 × 18 = ( 6 2 × 2 ) ( 3 2 × 2 ) = 6 2 × 3 2 = 18 × 2 = 36 \sqrt{72 \times 18} = \sqrt{(6^2 \times 2)(3^2 \times 2)} = 6\sqrt{2} \times 3\sqrt{2} = 18 \times 2 = 36

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Tom Engelsman
Nov 24, 2016

7 2 ∗ 1 8 = ( 36 ∗ 2 ) ∗ ( 9 ∗ 2 ) = 6 2 ∗ 3 2 = 18 ∗ 2 = 36 \sqrt72 * \sqrt18 = \sqrt(36*2) * \sqrt(9*2) = 6\sqrt2 * 3\sqrt2 = 18 * 2 = 36

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