What is sqrt(2+\sqrt{x-3)}sqrt(11-x) ?

The solution to sqrt(2+\sqrt{x-3)}sqrt(11-x) is sqrt((-x+11)(\sqrt{x-3)+2)}

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simplify sqrt(2+\sqrt{x-3)}sqrt(11-x)

simplify

2 + x - 3 11 - x

(- x + 11) (x - 3 + 2)

Solution steps

2 + x - 3 11 - x

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x - 3 + 2 - x + 11 = (x - 3 + 2) (- x + 11)

= (x - 3 + 2) (- x + 11)

- 2 e^{x^{2}} \cdot 2 x

(42) \cdot (25)

b^{8} (2 b)

1.52 x 1 0^{- 4}

4.23 \cdot 1 0^{- 3}

What is sqrt(2+\sqrt{x-3)}sqrt(11-x) ?
The solution to sqrt(2+\sqrt{x-3)}sqrt(11-x) is sqrt((-x+11)(\sqrt{x-3)+2)}