Evaluate
15\left(\sqrt{6}-1\right)\approx 21.742346142
Factor
15 {(\sqrt{6} - 1)} = 21.742346142
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15\sqrt{3}\sqrt{2}-5\left(\sqrt{3}\right)^{2}
Use the distributive property to multiply 5\sqrt{3} by 3\sqrt{2}-\sqrt{3}.
15\sqrt{6}-5\left(\sqrt{3}\right)^{2}
To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.
15\sqrt{6}-5\times 3
The square of \sqrt{3} is 3.
15\sqrt{6}-15
Multiply -5 and 3 to get -15.
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