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Popular >

simplify 3/(3-sqrt(2))

Solution

simplify

\frac{3}{3 - 2}

Solution

\frac{9 + 3 2}{7}

+1

Decimal Notation

1.89180 \dots

Solution steps

\frac{3}{3 - 2}

Multiply by the conjugate

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

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

Expand

3 (3 + 2) : 9 + 32

Expand

(3 - 2) (3 + 2) : 7

= \frac{9 + 3 2}{7}

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Frequently Asked Questions (FAQ)

What is 3/(3-sqrt(2)) ?
The solution to 3/(3-sqrt(2)) is (9+3sqrt(2))/7