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

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

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

simplify

4 + 7 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

4 e^{- 6}

f^{- 1} (- 8)

5.8 \cdot 1 0^{- 6}

\frac{3}{x y}

2 - 3 x \cdot 4 + x

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