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

- 9 - - 81 - 16 - - 4

2 (\frac{1}{2}) - 1

2 (- a) (3 - a)

2 (n + 1) + 1