What is sqrt(4+\sqrt{15)}*sqrt(4-\sqrt{15)} ?

The solution to sqrt(4+\sqrt{15)}*sqrt(4-\sqrt{15)} is 1

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simplify sqrt(4+\sqrt{15)}*sqrt(4-\sqrt{15)}

simplify

4 + 15 \cdot 4 - 15

1

Solution steps

4 + 15 4 - 15

Apply radical rule:

a b = a \cdot b

4 + 15 4 - 15 = (4 + 15) (4 - 15)

= (4 + 15) (4 - 15)

(4 + 15) (4 - 15) = 1

= 1

Apply rule

1 = 1

= 1

(3 + 5 x)^{- 3}

20 (\frac{1}{2} x 16 - \frac{1}{4} x^{2})

x x^{\frac{3}{2}}

x \cdot 2

What is sqrt(4+\sqrt{15)}*sqrt(4-\sqrt{15)} ?
The solution to sqrt(4+\sqrt{15)}*sqrt(4-\sqrt{15)} is 1