What is sqrt(20^2+20^2) ?

The solution to sqrt(20^2+20^2) is 20sqrt(2)

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simplify sqrt(20^2+20^2)

simplify

2 0^{2} + 2 0^{2}

202

Decimal Notation

28.28427 \dots

Solution steps

2 0^{2} + 2 0^{2}

2 0^{2} + 2 0^{2} = 800

= 800

Prime factorization of

800 : 2^{5} \cdot 5^{2}

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

Apply exponent rule:

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

2^{5} \cdot 5^{2} = 2^{4} \cdot 2 \cdot 5^{2}

= 2^{4} \cdot 2 \cdot 5^{2}

2^{4} \cdot 2 \cdot 5^{2} = 2^{4} 2 5^{2}

= 2^{4} 2 5^{2}

2^{4} = 4

= 42 5^{2}

Apply radical rule:

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

5^{2} = 5

= 42 \cdot 5

Multiply the numbers:

4 \cdot 5 = 20

= 202

\frac{x ^{2} - 3 x}{x}

2.5 (10 x + 8) + 3 x

- 5 x^{2} + 20 x

m^{3} - 1

3 x^{3} - 4 x^{2} - 5 x + 2