What is 4/(2+sqrt(2))+1/(3-2sqrt(2)) ?

The solution to 4/(2+sqrt(2))+1/(3-2sqrt(2)) is 7

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simplify 4/(2+sqrt(2))+1/(3-2sqrt(2))

simplify

\frac{4}{2 + 2} + \frac{1}{3 - 2 2}

7

Solution steps

\frac{4}{2 + 2} + \frac{1}{3 - 2 2}

Least Common Multiplier of

2 + 2, 3 - 22 : (2 + 2) (3 - 22)

Adjust Fractions based on the LCM

= \frac{4 ( 3 - 2 2 )}{( 2 + 2 ) ( 3 - 2 2 )} + \frac{2 + 2}{( 2 + 2 ) ( 3 - 2 2 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{4 ( 3 - 2 2 ) + 2 + 2}{( 2 + 2 ) ( 3 - 2 2 )}

Simplify

4 (3 - 22) + 2 + 2 : 14 - 72

= \frac{14 - 7 2}{( 2 + 2 ) ( 3 - 2 2 )}

Apply FOIL method

(2 + 2) (3 - 22) : 2 - 2

= \frac{14 - 7 2}{2 - 2}

Cancel

\frac{14 - 7 2}{2 - 2} : 7

= 7

3 x^{2} - 2 x - 7 = 0

1 6^{- 1.5}

6 x^{2} - 41 x - 7

(3 (\frac{9}{7}) + 3) + (4 (\frac{9}{7}) - 12) - 180 = A

e^{-, at}

What is 4/(2+sqrt(2))+1/(3-2sqrt(2)) ?
The solution to 4/(2+sqrt(2))+1/(3-2sqrt(2)) is 7