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Popular >

simplify 5/(3+sqrt(2))

Solution

simplify

\frac{5}{3 + 2}

Solution

\frac{15 - 5 2}{7}

+1

Solution steps

\frac{5}{3 + 2}

Multiply by the conjugate

\frac{3 - 2}{3 - 2}

= \frac{5 ( 3 - 2 )}{( 3 + 2 ) ( 3 - 2 )}

Expand

5 (3 - 2) : 15 - 52

Expand

(3 + 2) (3 - 2) : 7

= \frac{15 - 5 2}{7}

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Frequently Asked Questions (FAQ)

What is 5/(3+sqrt(2)) ?
The solution to 5/(3+sqrt(2)) is (15-5sqrt(2))/7