What is 2/(sqrt(8)+\sqrt{7)} ?

The solution to 2/(sqrt(8)+\sqrt{7)} is 4sqrt(2)-2sqrt(7)

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Popular >

simplify 2/(sqrt(8)+\sqrt{7)}

simplify

\frac{2}{8 + 7}

42 - 27

Decimal Notation

0.36535 \dots

Solution steps

\frac{2}{8 + 7}

Multiply by the conjugate

\frac{8 - 7}{8 - 7}

= \frac{2 ( 8 - 7 )}{( 8 + 7 ) ( 8 - 7 )}

Expand

2 (8 - 7) : 42 - 27

Expand

(8 + 7) (8 - 7) : 1

= \frac{4 2 - 2 7}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 42 - 27

5 x - 7 (x + 1) > - 9

- 618 z - 15

x^{3} - 3 x^{2} + 7 x - 5

5 x + 7 \leq - 8

What is 2/(sqrt(8)+\sqrt{7)} ?
The solution to 2/(sqrt(8)+\sqrt{7)} is 4sqrt(2)-2sqrt(7)