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Popular >

simplify 1/(3+sqrt(7))

Solution

simplify

\frac{1}{3 + 7}

Solution

\frac{3 - 7}{2}

+1

Decimal Notation

0.17712 \dots

Solution steps

\frac{1}{3 + 7}

Multiply by the conjugate

\frac{3 - 7}{3 - 7}

= \frac{1 \cdot ( 3 - 7 )}{( 3 + 7 ) ( 3 - 7 )}

1 \cdot (3 - 7) = 3 - 7

(3 + 7) (3 - 7) = 2

= \frac{3 - 7}{2}

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Frequently Asked Questions (FAQ)

What is 1/(3+sqrt(7)) ?
The solution to 1/(3+sqrt(7)) is (3-sqrt(7))/2