Rationalize the following denominator and simplify.
\[
\frac{\sqrt{3}+9}{\sqrt{6}-\sqrt{5}}
\]

Answer

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Answer

Simplify the expression: \( \boxed{(\sqrt{3} + 9)(\sqrt{5} + \sqrt{6})} \)

Steps

Step 1 ：Multiply both the numerator and the denominator by the conjugate of the denominator: \( (\sqrt{3} + 9)(\sqrt{5} + \sqrt{6}) \) and \( (\sqrt{6} - \sqrt{5})(\sqrt{6} + \sqrt{5}) \)

Step 2 ：Simplify the expression: \( \boxed{(\sqrt{3} + 9)(\sqrt{5} + \sqrt{6})} \)

Rationalize the following denominator and simplify.\[\frac{\sqrt{3}+9}{\sqrt{6}-\sqrt{5}}\]

Answer

Popular Problems

Rationalize the following denominator and simplify.
\[
\frac{\sqrt{3}+9}{\sqrt{6}-\sqrt{5}}
\]