What is 7/(sqrt(3+\sqrt{2))} ?

The solution to 7/(sqrt(3+\sqrt{2))} is (3-sqrt(2))sqrt(3+\sqrt{2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 7/(sqrt(3+\sqrt{2))}

simplify

\frac{7}{3 + 2}

(3 - 2) 3 + 2

Decimal Notation

3.33174 \dots

Solution steps

\frac{7}{3 + 2}

Multiply by the conjugate

\frac{3 + 2}{3 + 2}

= \frac{7 3 + 2}{3 + 2 3 + 2}

3 + 2 3 + 2 = 3 + 2

= \frac{7 3 + 2}{3 + 2}

Multiply by the conjugate

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

= \frac{7 3 + 2 ( 3 - 2 )}{( 3 + 2 ) ( 3 - 2 )}

(3 + 2) (3 - 2) = 7

= \frac{7 ( 3 - 2 ) 3 + 2}{7}

Divide the numbers:

\frac{7}{7} = 1

= (3 - 2) 3 + 2

(x - 1) (x + 3)^{2}

15 \times 10

\frac{7}{10} \times 5

\frac{10}{36}

(9 x)^{- 1}

What is 7/(sqrt(3+\sqrt{2))} ?
The solution to 7/(sqrt(3+\sqrt{2))} is (3-sqrt(2))sqrt(3+\sqrt{2)}