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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

2 + 2 2 - 2

2

Decimal Notation

1.41421 \dots

Solution steps

2 + 2 2 - 2

Apply radical rule:

a b = a \cdot b

2 + 2 2 - 2 = (2 + 2) (2 - 2)

= (2 + 2) (2 - 2)

(2 + 2) (2 - 2) = 2

= 2

6 x^{2} y (5 x)

(x - 3)^{2} (x - 2)^{2} (x + 9)

(e^{- t})^{2}

e^{- 4 t} u (- t - 1)

9.8 \cdot 1 0^{- 5}

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