What is (8.999-9)/(sqrt(8.999)-3) ?

The solution to (8.999-9)/(sqrt(8.999)-3) is 5.99983…

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simplify (8.999-9)/(sqrt(8.999)-3)

simplify

\frac{8.999 - 9}{8.999 - 3}

5.99983 \dots

Solution steps

\frac{8.999 - 9}{8.999 - 3}

Subtract the numbers:

8.999 - 9 = - 0.001

= \frac{- 0.001}{8.999 - 3}

Apply the fraction rule:

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

8.999 - 3 = - (3 - 8.999)

= \frac{0.001}{3 - 8.999}

8.999 = 2.99983 \dots

= \frac{0.001}{3 - 2.99983 \dots}

Subtract the numbers:

3 - 2.99983 \dots = 0.00016 \dots

= \frac{0.001}{0.00016 \dots}

Divide the numbers:

\frac{0.001}{0.00016 \dots} = 5.99983 \dots

= 5.99983 \dots

[(x^{9} y^{- 9})^{- 1}]^{- 1}

81 y^{6}

\frac{x ^{4} + 2 x ^{3} + x ^{2}}{x + 1}

cos (t) cos (t)

What is (8.999-9)/(sqrt(8.999)-3) ?
The solution to (8.999-9)/(sqrt(8.999)-3) is 5.99983…