What is 1/(5sqrt(5)-3\sqrt{3)} ?

The solution to 1/(5sqrt(5)-3\sqrt{3)} is (5sqrt(5)+3sqrt(3))/(98)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(5sqrt(5)-3\sqrt{3)}

simplify

\frac{1}{5 5 - 3 3}

\frac{5 5 + 3 3}{98}

Decimal Notation

0.16710 \dots

Solution steps

\frac{1}{5 5 - 3 3}

Multiply by the conjugate

\frac{5 5 + 3 3}{5 5 + 3 3}

= \frac{1 \cdot ( 5 5 + 3 3 )}{( 5 5 - 3 3 ) ( 5 5 + 3 3 )}

1 \cdot (55 + 33) = 55 + 33

(55 - 33) (55 + 33) = 98

= \frac{5 5 + 3 3}{98}

5 b t + 4 t - 3 t b - b

\frac{- 2 + 2 2}{2}

x^{5} + x^{3} + 8 x^{2} + 8

4 + 3 + \frac{9}{4} + \frac{27}{16}

(3 b)^{3}

What is 1/(5sqrt(5)-3\sqrt{3)} ?
The solution to 1/(5sqrt(5)-3\sqrt{3)} is (5sqrt(5)+3sqrt(3))/(98)