What is expand 15(sqrt(5)+2)sqrt(5-2\sqrt{5)} ?

The solution to expand 15(sqrt(5)+2)sqrt(5-2\sqrt{5)} is 15sqrt(25-10\sqrt{5)}+30sqrt(5-2\sqrt{5)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 15(sqrt(5)+2)sqrt(5-2\sqrt{5)}

expand

15 (5 + 2) 5 - 25

15 25 - 105 + 30 5 - 25

Solution steps

15 (5 + 2) 5 - 25

Apply the distributive law:

a (b + c) = ab + a c

a = 15 5 - 25, b = 5, c = 2

= 15 5 - 25 5 + 15 5 - 25 \cdot 2

= 155 5 - 25 + 15 \cdot 2 5 - 25

Simplify

155 5 - 25 + 15 \cdot 2 5 - 25 : 15 25 - 105 + 30 5 - 25

= 15 25 - 105 + 30 5 - 25

- \frac{5 ( 5 + 41 )}{4}

(4 - 14 - x) (4 + 14 - x)

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

\frac{( 1 - x ) ^{4}}{4}

\frac{e ^{x} ( x ^{2} + 1 ) - 2 x e ^{x}}{( x ^{2} + 1 ) ^{2}}

What is expand 15(sqrt(5)+2)sqrt(5-2\sqrt{5)} ?
The solution to expand 15(sqrt(5)+2)sqrt(5-2\sqrt{5)} is 15sqrt(25-10\sqrt{5)}+30sqrt(5-2\sqrt{5)}