What is sqrt((-5)^2+(-5)^2) ?

The solution to sqrt((-5)^2+(-5)^2) is 5sqrt(2)

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simplify sqrt((-5)^2+(-5)^2)

simplify

(- 5)^{2} + (- 5)^{2}

52

Decimal Notation

7.07106 \dots

Solution steps

(- 5)^{2} + (- 5)^{2}

(- 5)^{2} + (- 5)^{2} = 50

= 50

Prime factorization of

50 : 2 \cdot 5^{2}

= 2 \cdot 5^{2}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2 \cdot 5^{2} = 2 5^{2}

= 2 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5

= 52

\frac{1}{x - y}

(3 - i) + (- 2 + 4 i)

\frac{3}{2} - \frac{1}{16}

16 a^{2}

- 2 - \frac{4}{3}