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Popular >

simplify 4/(sqrt(3)+2)

Solution

simplify

\frac{4}{3 + 2}

Solution

- 43 + 8

+1

Solution steps

\frac{4}{3 + 2}

Multiply by the conjugate

\frac{3 - 2}{3 - 2}

= \frac{4 ( 3 - 2 )}{( 3 + 2 ) ( 3 - 2 )}

Expand

4 (3 - 2) : 43 - 8

Expand

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

= \frac{4 3 - 8}{- 1}

\frac{4 3 - 8}{- 1} = - 43 + 8

= - 43 + 8

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Frequently Asked Questions (FAQ)

What is 4/(sqrt(3)+2) ?
The solution to 4/(sqrt(3)+2) is -4sqrt(3)+8