What is (2+sqrt(2))/(1+sqrt(2)) ?

The solution to (2+sqrt(2))/(1+sqrt(2)) is square root of 2

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simplify (2+sqrt(2))/(1+sqrt(2))

simplify

\frac{2 + 2}{1 + 2}

2

Decimal Notation

1.41421 \dots

Solution steps

\frac{2 + 2}{1 + 2}

Multiply by the conjugate

\frac{1 - 2}{1 - 2}

= \frac{( 2 + 2 ) ( 1 - 2 )}{( 1 + 2 ) ( 1 - 2 )}

Expand

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

Expand

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

= \frac{- 2}{- 1}

Apply the fraction rule:

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

= \frac{2}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 2

20 x^{9} - 7 x

t - 4 t + 7

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

(- 3 + 6 i) (5 - 6 i)

What is (2+sqrt(2))/(1+sqrt(2)) ?
The solution to (2+sqrt(2))/(1+sqrt(2)) is square root of 2