What is 1/(sqrt(3)-2) ?

The solution to 1/(sqrt(3)-2) is -sqrt(3)-2

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simplify 1/(sqrt(3)-2)

simplify

\frac{1}{3 - 2}

- 3 - 2

Decimal Notation

- 3.73205 \dots

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) = - 1

= \frac{3 + 2}{- 1}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{3 + 2}{1}

Apply rule

\frac{a}{1} = a

= - (2 + 3)

Distribute parentheses

= - (3) - (2)

Apply minus-plus rules

+ (- a) = - a

= - 3 - 2

- 4^{2} + a - 6

\frac{( \frac{3}{2} )}{2}

(- 2 b^{5} c^{2})^{2}

\frac{6 z ^{3}}{( 3 z ^{3} ) ^{3}}

\frac{8}{4 5}