What is sqrt((-3)^2+(3)^2) ?

The solution to sqrt((-3)^2+(3)^2) is 3sqrt(2)

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simplify sqrt((-3)^2+(3)^2)

simplify

(- 3)^{2} + (3)^{2}

32

Decimal Notation

4.24264 \dots

Solution steps

(- 3)^{2} + 3^{2}

(- 3)^{2} + 3^{2} = 18

= 18

Prime factorization of

18 : 2 \cdot 3^{2}

= 2 \cdot 3^{2}

Apply radical rule:

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

2 \cdot 3^{2} = 2 3^{2}

= 2 3^{2}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3

= 32

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