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

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

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

simplify

(25 - (3 - 5))^{2}

35 - 3

Decimal Notation

3.70820 \dots

Solution steps

(25 - (3 - 5))^{2}

Apply radical rule:

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

(25 - (3 - 5))^{2} = 25 - (3 - 5)

= 25 - (3 - 5)

Apply the distributive law:

- (a - b) = - a + b

- (3 - 5) = - 3 + 5

= 25 - 3 + 5

Add similar elements:

25 + 5 = 35

= 35 - 3

(2 x - 3 y) (2 x - 3 y)

x^{3} + 3 x^{2} - 11 x - 33

\frac{1}{x ^{2} + 3 x + 2} - \frac{1}{x ^{2} - 2 x - 3}

(2 - 3 i)^{- 5}

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