What is 7/(3-sqrt(2)) ?

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

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simplify 7/(3-sqrt(2))

simplify

\frac{7}{3 - 2}

3 + 2

Decimal Notation

4.41421 \dots

Solution steps

\frac{7}{3 - 2}

Multiply by the conjugate

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

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

Expand

7 (3 + 2) : 21 + 72

Expand

(3 - 2) (3 + 2) : 7

= \frac{21 + 7 2}{7}

Factor out common term

7 : 7 (3 + 2)

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

Cancel the common factor:

7

= 3 + 2

\frac{0.02 \cdot 0.1}{0.05}

2 x^{2} + 4 x - 30 = 0

e^{- l n (x + 1)}

∣ x - 3 ∣ - ∣ x + 2 ∣ \geq 2

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