What is (sqrt(2))sqrt(4-(\sqrt{2))^2} ?

The solution to (sqrt(2))sqrt(4-(\sqrt{2))^2} is 2

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simplify (sqrt(2))sqrt(4-(\sqrt{2))^2}

simplify

(2) 4 - (2)^{2}

2

Solution steps

(2) 4 - (2)^{2}

Apply rule:

(a) = a

(2) = 2

= 2 4 - (2)^{2}

4 - (2)^{2} = 2

= 22

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2

2

(e^{- x}) (e^{- x})

e^{- 2 π}

e^{- x} (- 2 e^{- 2 x})

What is (sqrt(2))sqrt(4-(\sqrt{2))^2} ?
The solution to (sqrt(2))sqrt(4-(\sqrt{2))^2} is 2