What is (a-b)/(sqrt(a)+\sqrt{b)} ?

The solution to (a-b)/(sqrt(a)+\sqrt{b)} is sqrt(a)-sqrt(b)

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simplify (a-b)/(sqrt(a)+\sqrt{b)}

simplify

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

a - b

Solution steps

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

Multiply by the conjugate

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

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

(a + b) (a - b) = a - b

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

Cancel the common factor:

a - b

= a - b

- 6 a - (2 a)

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

(m^{5})^{3}

(3 + 3) (2 - 4)

What is (a-b)/(sqrt(a)+\sqrt{b)} ?
The solution to (a-b)/(sqrt(a)+\sqrt{b)} is sqrt(a)-sqrt(b)