What is (9-t)/(3-sqrt(t)) ?

The solution to (9-t)/(3-sqrt(t)) is 3+sqrt(t)

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simplify (9-t)/(3-sqrt(t))

simplify

\frac{9 - t}{3 - t}

3 + t

Solution steps

\frac{9 - t}{3 - t}

Multiply by the conjugate

\frac{3 + t}{3 + t}

= \frac{( 9 - t ) ( 3 + t )}{( 3 - t ) ( 3 + t )}

(3 - t) (3 + t) = 9 - t

= \frac{( 9 - t ) ( 3 + t )}{9 - t}

Cancel the common factor:

9 - t

= 3 + t

8 \cdot \frac{3}{8}

x^{2} y^{5} + x y^{4}

x^{2} \cdot x^{- 6}

t^{4} \cdot t^{4}

\frac{2 3}{2 2}