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Popular >

simplify 6/(3-sqrt(2))

Solution

simplify

\frac{6}{3 - 2}

Solution

\frac{18 + 6 2}{7}

+1

Decimal Notation

3.78361 \dots

Solution steps

\frac{6}{3 - 2}

Multiply by the conjugate

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

= \frac{6 ( 3 + 2 )}{( 3 - 2 ) ( 3 + 2 )}

Expand

6 (3 + 2) : 18 + 62

Expand

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

= \frac{18 + 6 2}{7}

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Frequently Asked Questions (FAQ)

What is 6/(3-sqrt(2)) ?
The solution to 6/(3-sqrt(2)) is (18+6sqrt(2))/7