What is (sqrt(8))/(sqrt(14)-\sqrt{10)} ?

The solution to (sqrt(8))/(sqrt(14)-\sqrt{10)} is (sqrt(14)+sqrt(10))/(sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(8))/(sqrt(14)-\sqrt{10)}

simplify

\frac{8}{14 - 10}

\frac{14 + 10}{2}

Decimal Notation

4.88181 \dots

Solution steps

\frac{8}{14 - 10}

8 = 22

= \frac{2 2}{14 - 10}

Multiply by the conjugate

\frac{14 + 10}{14 + 10}

= \frac{2 ( 14 + 10 ) 2}{( 14 - 10 ) ( 14 + 10 )}

Expand

2 (14 + 10) : 214 + 210

Expand

(14 - 10) (14 + 10) : 4

= \frac{( 2 14 + 2 10 ) 2}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{( 2 14 + 2 10 ) 2}{2 \cdot 2}

Apply radical rule:

a = a a

2 = 22

= \frac{( 2 14 + 2 10 ) 2}{2 2 \cdot 2}

Cancel the common factor:

2

= \frac{2 14 + 2 10}{2 \cdot 2}

Factor out common term

2

= \frac{2 ( 14 + 10 )}{2 \cdot 2}

Cancel the common factor:

2

= \frac{14 + 10}{2}

(- 3 + h)^{3}

(1 - 7) (1 + 7)

(2 n^{2} + 5 n + 4) (2 n - 4)

65 \cdot 3

(f x)^{3} - 1

What is (sqrt(8))/(sqrt(14)-\sqrt{10)} ?
The solution to (sqrt(8))/(sqrt(14)-\sqrt{10)} is (sqrt(14)+sqrt(10))/(sqrt(2))