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

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

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

simplify

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

22

Decimal Notation

2.82842 \dots

Solution steps

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

(- 2)^{2} + (- 2)^{2} = 8

= 8

Prime factorization of

8 : 2^{3}

= 2^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= 2^{2} \cdot 2

Apply radical rule:

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

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

= 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 22

(x + 2) (x - 1) (x + 3)

\frac{( x ^{2} )}{x}

\frac{2 x + 6}{5 x + 10} \cdot \frac{x + 2}{x ^{2} + 4 x + 3}

9 x^{5}

(x^{2} - 16)^{2}