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

3 \times 12

(3 w^{- 2})^{4}

\frac{a ^{2} b - a ^{2} c - b ^{3} + b ^{2} c}{ab - b ^{2} - a c + b c}

(3 m - 4 n + 5) (- 3 m - 4 n)

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