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 \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

^{'} 1 0^{- 3} 1 0^{- 5}

(f \circ f^{- 1}) (10)

4 - x \cdot x^{2} - 9

e^{- \frac{28}{10}}

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