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

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

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

(4 e^{x} x^{3} - 12 e^{x} x^{2} + 21 e^{x} x + x - 21 e^{x}) \cdot e^{- x}

- e^{x} e^{- x}

(4.5 \cdot 1 0^{21}) (1.602 \cdot 1 0^{- 19})

2 e^{- l n (6)}

1.252 \cdot 1 0^{- 3}

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