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

The solution to sqrt(5+2\sqrt{2)}sqrt(5-2\sqrt{2)} is square root of 17

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(5+2\sqrt{2)}sqrt(5-2\sqrt{2)}

simplify

5 + 22 5 - 22

17

Solution steps

5 + 22 5 - 22

Apply radical rule:

a b = a \cdot b

5 + 22 5 - 22 = (5 + 22) (5 - 22)

= (5 + 22) (5 - 22)

(5 + 22) (5 - 22) = 17

= 17

e^{- a ∣ x ∣}

\frac{e ^{5 x}}{e ^{3 x}}

\frac{2.7}{7.5}

(30 x^{4}) (7 x^{5} y)

What is sqrt(5+2\sqrt{2)}sqrt(5-2\sqrt{2)} ?
The solution to sqrt(5+2\sqrt{2)}sqrt(5-2\sqrt{2)} is square root of 17