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Popular >

simplify 1/(sqrt(3)+1)

Solution

simplify

\frac{1}{3 + 1}

Solution

\frac{3 - 1}{2}

+1

Decimal Notation

0.36602 \dots

Solution steps

\frac{1}{3 + 1}

Multiply by the conjugate

\frac{3 - 1}{3 - 1}

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

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

(3 + 1) (3 - 1) = 2

= \frac{3 - 1}{2}

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Frequently Asked Questions (FAQ)

What is 1/(sqrt(3)+1) ?
The solution to 1/(sqrt(3)+1) is (sqrt(3)-1)/2