What is (1.1-1)/(sqrt(1.1)-1) ?

The solution to (1.1-1)/(sqrt(1.1)-1) is sqrt(11/10)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1.1-1)/(sqrt(1.1)-1)

simplify

\frac{1.1 - 1}{1.1 - 1}

\frac{11}{10} + 1

Decimal Notation

2.04880 \dots

Solution steps

\frac{1.1 - 1}{1.1 - 1}

Subtract the numbers:

1.1 - 1 = 0.1

= \frac{0.1}{1.1 - 1}

Multiply by the conjugate

\frac{1.1 + 1}{1.1 + 1}

= \frac{0.1 ( 1.1 + 1 )}{( 1.1 - 1 ) ( 1.1 + 1 )}

Expand

0.1 (1.1 + 1) : 0.1 \frac{11}{10} + 0.1

Expand

(1.1 - 1) (1.1 + 1) : 0.1

= \frac{0.1 \frac{11}{10} + 0.1}{0.1}

Factor out common term

0.1 : 0.1 (\frac{11}{10} + 1)

= \frac{0.1 ( \frac{11}{10} + 1 )}{0.1}

Cancel the common factor:

0.1

= \frac{11}{10} + 1

- 18 - (- 9)

1 - 64 x^{2} y^{6}

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

\frac{2.9 9 ^{2} - 9}{2.99 - 3}

3 x^{3} + 6 x^{2} - 24 x

What is (1.1-1)/(sqrt(1.1)-1) ?
The solution to (1.1-1)/(sqrt(1.1)-1) is sqrt(11/10)+1