What is sqrt(4-\sqrt{7)}*sqrt(4+\sqrt{7)} ?

The solution to sqrt(4-\sqrt{7)}*sqrt(4+\sqrt{7)} is 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(4-\sqrt{7)}*sqrt(4+\sqrt{7)}

simplify

4 - 7 \cdot 4 + 7

3

Solution steps

4 - 7 4 + 7

Apply radical rule:

a b = a \cdot b

4 - 7 4 + 7 = (4 - 7) (4 + 7)

= (4 - 7) (4 + 7)

(4 - 7) (4 + 7) = 9

= 9

Factor the number:

9 = 3^{2}

= 3^{2}

Apply radical rule:

3^{2} = 3

= 3

- 55 e^{- \frac{3}{2}}

(x^{6} + 5 x^{4} + 3 x^{2} - 2 x) e n t re (x^{2} - x + 3)

89^{2}

e^{- (0.0005 (2 + 4 \cdot 5000 + 2 \cdot 500 0^{1.5})) 5000}

\frac{2}{28 7 ^{2} \cdot 2} \cdot (1 0^{- 6})

What is sqrt(4-\sqrt{7)}*sqrt(4+\sqrt{7)} ?
The solution to sqrt(4-\sqrt{7)}*sqrt(4+\sqrt{7)} is 3