What is 4/(sqrt(5)-2) ?

The solution to 4/(sqrt(5)-2) is 4sqrt(5)+8

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simplify 4/(sqrt(5)-2)

simplify

\frac{4}{5 - 2}

45 + 8

Decimal Notation

16.94427 \dots

Solution steps

\frac{4}{5 - 2}

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

= \frac{4 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

Expand

4 (5 + 2) : 45 + 8

Expand

(5 - 2) (5 + 2) : 1

= \frac{4 5 + 8}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 45 + 8

\frac{3}{5} \div \frac{2}{5}

lo g_{x} (16)

(x + y)^{3} - (x - y)^{3}

(7 + 4 i) - (1 + 2 i)

18 x^{3}