What is (8.99-9)/(sqrt(8.99)-3) ?

The solution to (8.99-9)/(sqrt(8.99)-3) is (0.01sqrt(899)+0.3)/(0.1)

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simplify (8.99-9)/(sqrt(8.99)-3)

simplify

\frac{8.99 - 9}{8.99 - 3}

\frac{0.01 899 + 0.3}{0.1}

Decimal Notation

5.99833 \dots

Solution steps

\frac{8.99 - 9}{8.99 - 3}

Subtract the numbers:

8.99 - 9 = - 0.01

= \frac{- 0.01}{8.99 - 3}

Multiply by the conjugate

\frac{8.99 + 3}{8.99 + 3}

= \frac{- 0.01 ( 8.99 + 3 )}{( 8.99 - 3 ) ( 8.99 + 3 )}

Expand

- 0.01 (8.99 + 3) : \frac{- 0.01 899 - 0.3}{10}

Expand

(8.99 - 3) (8.99 + 3) : - 0.01

= \frac{\frac{- 0.01 899 - 0.3}{10}}{- 0.01}

\frac{\frac{- 0.01 899 - 0.3}{10}}{- 0.01} = \frac{0.01 899 + 0.3}{0.1}

= \frac{0.01 899 + 0.3}{0.1}

(16 x^{2})^{\frac{3}{4}}

(3 a - b) (3 a + b)

9 \cdot \frac{1}{9}

\frac{144}{18}

x + \frac{1}{5} x

What is (8.99-9)/(sqrt(8.99)-3) ?
The solution to (8.99-9)/(sqrt(8.99)-3) is (0.01sqrt(899)+0.3)/(0.1)