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Popular >

simplify 1/(3-sqrt(2))

Solution

simplify

\frac{1}{3 - 2}

Solution

\frac{3 + 2}{7}

+1

Solution steps

\frac{1}{3 - 2}

Multiply by the conjugate

\frac{3 + 2}{3 + 2}

= \frac{1 \cdot ( 3 + 2 )}{( 3 - 2 ) ( 3 + 2 )}

1 \cdot (3 + 2) = 3 + 2

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

= \frac{3 + 2}{7}

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Frequently Asked Questions (FAQ)

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