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Popular >

simplify 5/(sqrt(3)+1)

Solution

simplify

\frac{5}{3 + 1}

Solution

\frac{5 3 - 5}{2}

+1

Decimal Notation

1.83012 \dots

Solution steps

\frac{5}{3 + 1}

Multiply by the conjugate

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

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

Expand

5 (3 - 1) : 53 - 5

Expand

(3 + 1) (3 - 1) : 2

= \frac{5 3 - 5}{2}

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Frequently Asked Questions (FAQ)

What is 5/(sqrt(3)+1) ?
The solution to 5/(sqrt(3)+1) is (5sqrt(3)-5)/2