What is rationalize 4/(sqrt(3)+2) ?

The solution to rationalize 4/(sqrt(3)+2) is -4(sqrt(3)-2)

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rationalize 4/(sqrt(3)+2)

rationalize

\frac{4}{3 + 2}

- 4 (3 - 2)

Decimal Notation

1.07179 \dots

Solution steps

\frac{4}{3 + 2}

Multiply by the conjugate

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

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

(3 + 2) (3 - 2) = - 1

= \frac{4 ( 3 - 2 )}{- 1}

Apply the fraction rule:

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

= - \frac{4 ( 3 - 2 )}{1}

Apply rule

\frac{a}{1} = a

= - 4 (3 - 2)

\frac{7}{8} - \frac{2}{5}

lo g_{2} (0.01)

x^{2} - 5 x^{2}

(a x^{2} + b x + c)^{2}

(x + a)^{3} (x + b)^{5}

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