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Popular >

simplify 1/(3+sqrt(5))

Solution

simplify

\frac{1}{3 + 5}

Solution

\frac{3 - 5}{4}

+1

Decimal Notation

0.19098 \dots

Solution steps

\frac{1}{3 + 5}

Multiply by the conjugate

\frac{3 - 5}{3 - 5}

= \frac{1 \cdot ( 3 - 5 )}{( 3 + 5 ) ( 3 - 5 )}

1 \cdot (3 - 5) = 3 - 5

(3 + 5) (3 - 5) = 4

= \frac{3 - 5}{4}

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Frequently Asked Questions (FAQ)

What is 1/(3+sqrt(5)) ?
The solution to 1/(3+sqrt(5)) is (3-sqrt(5))/4