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Popular >

simplify 1/(4+sqrt(7))

Solution

simplify

\frac{1}{4 + 7}

Solution

\frac{4 - 7}{9}

+1

Decimal Notation

0.15047 \dots

Solution steps

\frac{1}{4 + 7}

Multiply by the conjugate

\frac{4 - 7}{4 - 7}

= \frac{1 \cdot ( 4 - 7 )}{( 4 + 7 ) ( 4 - 7 )}

1 \cdot (4 - 7) = 4 - 7

(4 + 7) (4 - 7) = 9

= \frac{4 - 7}{9}

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Frequently Asked Questions (FAQ)

What is 1/(4+sqrt(7)) ?
The solution to 1/(4+sqrt(7)) is (4-sqrt(7))/9