Evaluate
-5\sqrt{5}\approx -11.180339887
Quiz
Arithmetic
5 problems similar to:
\frac { 1 } { 3 } \sqrt { 45 } - ( 5 \sqrt { 5 } + \sqrt { 5 } )
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\frac{1}{3}\times 3\sqrt{5}-\left(5\sqrt{5}+\sqrt{5}\right)
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
\sqrt{5}-\left(5\sqrt{5}+\sqrt{5}\right)
Cancel out 3 and 3.
\sqrt{5}-6\sqrt{5}
Combine 5\sqrt{5} and \sqrt{5} to get 6\sqrt{5}.
-5\sqrt{5}
Combine \sqrt{5} and -6\sqrt{5} to get -5\sqrt{5}.
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