What is sqrt((\sqrt{20)-(3-sqrt(5)))^2} ?

The solution to sqrt((\sqrt{20)-(3-sqrt(5)))^2} is 3sqrt(5)-3

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simplify sqrt((\sqrt{20)-(3-sqrt(5)))^2}

simplify

(20 - (3 - 5))^{2}

35 - 3

Solution steps

(20 - (3 - 5))^{2}

Apply radical rule:

a^{2} = a, a \geq 0

(20 - (3 - 5))^{2} = 20 - (3 - 5)

= 20 - (3 - 5)

20 = 25

- (3 - 5) = - 3 + 5

= 25 - 3 + 5

Add similar elements:

25 + 5 = 35

= 35 - 3

s^{2} + 6 s + 9

8 \div 8

\frac{75 x ^{2} y ^{3}}{5 3 x y}

(2 x + 8)^{2}

\frac{- 9 + 8 i}{- 3 + 9 i}

What is sqrt((\sqrt{20)-(3-sqrt(5)))^2} ?
The solution to sqrt((\sqrt{20)-(3-sqrt(5)))^2} is 3sqrt(5)-3