What is sqrt((1-\sqrt{5))^2} ?

The solution to sqrt((1-\sqrt{5))^2} is sqrt(5)-1

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simplify sqrt((1-\sqrt{5))^2}

simplify

(1 - 5)^{2}

5 - 1

Decimal Notation

1.23606 \dots

Solution steps

(1 - 5)^{2}

(1 - 5)^{2} = 6 - 25

= 6 - 25

= 5 - 25 + 1

= (5)^{2} - 25 + (1)^{2}

1 = 1

= (5)^{2} - 25 + 1^{2}

25 \cdot 1 = 25

= (5)^{2} - 25 \cdot 1 + 1^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5)^{2} - 25 \cdot 1 + 1^{2} = (5 - 1)^{2}

= (5 - 1)^{2}

Apply radical rule:

(5 - 1)^{2} = 5 - 1

= 5 - 1

(4 - 2 i) - (10 + 5 i)

\frac{6}{28}

(x^{3} y^{6})^{\frac{1}{2}}

(\frac{2}{3} a^{2} - 9)^{2}

22 \times 3

What is sqrt((1-\sqrt{5))^2} ?
The solution to sqrt((1-\sqrt{5))^2} is sqrt(5)-1