What is 1/(sqrt(a)+b) ?

The solution to 1/(sqrt(a)+b) is (sqrt(a)-b)/(a-b^2)

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simplify 1/(sqrt(a)+b)

simplify

\frac{1}{a + b}

\frac{a - b}{a - b ^{2}}

Solution steps

\frac{1}{a + b}

Multiply by the conjugate

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

= \frac{1 \cdot ( a - b )}{( a + b ) ( a - b )}

1 \cdot (a - b) = a - b

(a + b) (a - b) = a - b^{2}

= \frac{a - b}{a - b ^{2}}

\frac{( x ^{8} )}{( ( 1 - x ^{3} ) ^{\frac{1}{3}} )}

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

((((a^{2})^{2})^{3})^{2})^{2}

3 x - 9 y

x^{3} - x^{2} - x \cdot y^{2} + y^{2}