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Popular >

simplify 3/(sqrt(3)-2)

Solution

simplify

\frac{3}{3 - 2}

Solution

- 33 - 6

+1

Decimal Notation

- 11.19615 \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) : 33 + 6

Expand

(3 - 2) (3 + 2) : - 1

= \frac{3 3 + 6}{- 1}

\frac{3 3 + 6}{- 1} = - 33 - 6

= - 33 - 6

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Frequently Asked Questions (FAQ)

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