Skip to main content
Evaluate
Tick mark Image
Factor
Tick mark Image

Similar Problems from Web Search

Share

\frac{\left(2\sqrt{3}+3\sqrt{5}\right)\sqrt{15}}{\left(\sqrt{15}\right)^{2}}
Rationalize the denominator of \frac{2\sqrt{3}+3\sqrt{5}}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.
\frac{\left(2\sqrt{3}+3\sqrt{5}\right)\sqrt{15}}{15}
The square of \sqrt{15} is 15.
\frac{2\sqrt{3}\sqrt{15}+3\sqrt{5}\sqrt{15}}{15}
Use the distributive property to multiply 2\sqrt{3}+3\sqrt{5} by \sqrt{15}.
\frac{2\sqrt{3}\sqrt{3}\sqrt{5}+3\sqrt{5}\sqrt{15}}{15}
Factor 15=3\times 5. Rewrite the square root of the product \sqrt{3\times 5} as the product of square roots \sqrt{3}\sqrt{5}.
\frac{2\times 3\sqrt{5}+3\sqrt{5}\sqrt{15}}{15}
Multiply \sqrt{3} and \sqrt{3} to get 3.
\frac{6\sqrt{5}+3\sqrt{5}\sqrt{15}}{15}
Multiply 2 and 3 to get 6.
\frac{6\sqrt{5}+3\sqrt{5}\sqrt{5}\sqrt{3}}{15}
Factor 15=5\times 3. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}.
\frac{6\sqrt{5}+3\times 5\sqrt{3}}{15}
Multiply \sqrt{5} and \sqrt{5} to get 5.
\frac{6\sqrt{5}+15\sqrt{3}}{15}
Multiply 3 and 5 to get 15.