Rationalize $\frac{\sqrt{6} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}$ $(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3))$ ?

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Rationalize $\frac{\sqrt{6} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}$ $(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3))$ ?

1 Answer

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Answer 1 · 2017-04-15T18:45:12

Multiply the fraction with the "opposite" (the denominator with the reverse sign) of the denominator and simplify.

Explanation:

$\frac{\sqrt{6} + \sqrt{5}}{\sqrt{5} - \sqrt{3}} \cdot \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} + \sqrt{3}}$ $(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3)) * (sqrt(5) + sqrt(3))/(sqrt(5) + sqrt(3))$

Simplifying, we get:
$\frac{\sqrt{30} + \sqrt{18} + \sqrt{15} + 5}{5 + \sqrt{15} - \sqrt{15} - 3}$ $(sqrt(30) + sqrt(18) + sqrt(15) + 5)/(5 + sqrt(15) - sqrt(15) -3)$

$\to \frac{\sqrt{30} + \sqrt{18} + \sqrt{15} + 5}{2}$ $-> (sqrt(30) + sqrt(18) + sqrt(15) + 5)/(2)$

$= \frac{\sqrt{30} + \sqrt{18} + \sqrt{15} + 5}{2}$ $= (sqrt(30) + sqrt(18) + sqrt(15) + 5)/(2)$

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Rationalize $\frac{\sqrt{6} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}$ $(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3))$ ?

1 Answer

Explanation:

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Rationalize √6+√5√5−√3(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3))?

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Explanation:

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Rationalize $\frac{\sqrt{6} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}$ $(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3))$ ?