What is (3.9-4)/(sqrt(3.9)-2) ?

The solution to (3.9-4)/(sqrt(3.9)-2) is (0.1sqrt(39/10)+0.2)/(0.1)

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simplify (3.9-4)/(sqrt(3.9)-2)

simplify

\frac{3.9 - 4}{3.9 - 2}

\frac{0.1 \frac{39}{10} + 0.2}{0.1}

Decimal Notation

3.97484 \dots

Solution steps

\frac{3.9 - 4}{3.9 - 2}

Subtract the numbers:

3.9 - 4 = - 0.1

= \frac{- 0.1}{3.9 - 2}

Multiply by the conjugate

\frac{3.9 + 2}{3.9 + 2}

= \frac{- 0.1 ( 3.9 + 2 )}{( 3.9 - 2 ) ( 3.9 + 2 )}

Expand

- 0.1 (3.9 + 2) : - 0.1 \frac{39}{10} - 0.2

Expand

(3.9 - 2) (3.9 + 2) : - 0.1

= \frac{- 0.1 \frac{39}{10} - 0.2}{- 0.1}

\frac{- 0.1 \frac{39}{10} - 0.2}{- 0.1} = \frac{0.1 \frac{39}{10} + 0.2}{0.1}

= \frac{0.1 \frac{39}{10} + 0.2}{0.1}

\frac{9 ^{4}}{9 ^{3}}

3 x^{- 6}

4 x^{2} (2 x^{3} + x^{2} - 3)

\frac{cos ( 2 x )}{cos ^{2} ( x )}

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

What is (3.9-4)/(sqrt(3.9)-2) ?
The solution to (3.9-4)/(sqrt(3.9)-2) is (0.1sqrt(39/10)+0.2)/(0.1)