What is (8.9-9)/(sqrt(8.9)-3) ?

The solution to (8.9-9)/(sqrt(8.9)-3) is (0.1sqrt(89/10)+0.3)/(0.1)

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simplify (8.9-9)/(sqrt(8.9)-3)

simplify

\frac{8.9 - 9}{8.9 - 3}

\frac{0.1 \frac{89}{10} + 0.3}{0.1}

Decimal Notation

5.98328 \dots

Solution steps

\frac{8.9 - 9}{8.9 - 3}

Subtract the numbers:

8.9 - 9 = - 0.1

= \frac{- 0.1}{8.9 - 3}

Multiply by the conjugate

\frac{8.9 + 3}{8.9 + 3}

= \frac{- 0.1 ( 8.9 + 3 )}{( 8.9 - 3 ) ( 8.9 + 3 )}

Expand

- 0.1 (8.9 + 3) : - 0.1 \frac{89}{10} - 0.3

Expand

(8.9 - 3) (8.9 + 3) : - 0.1

= \frac{- 0.1 \frac{89}{10} - 0.3}{- 0.1}

\frac{- 0.1 \frac{89}{10} - 0.3}{- 0.1} = \frac{0.1 \frac{89}{10} + 0.3}{0.1}

= \frac{0.1 \frac{89}{10} + 0.3}{0.1}

3 x - 2 y (4)

\frac{2}{3} \div \frac{5}{8}

15 x - 2 x - (13 x + 10 x)

1 0^{5} \cdot 1 0^{3}

\frac{6}{7} \cdot \frac{3}{4}

What is (8.9-9)/(sqrt(8.9)-3) ?
The solution to (8.9-9)/(sqrt(8.9)-3) is (0.1sqrt(89/10)+0.3)/(0.1)