What is sqrt(4^2+12^2) ?

The solution to sqrt(4^2+12^2) is 4sqrt(10)

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simplify sqrt(4^2+12^2)

simplify

4^{2} + 1 2^{2}

410

Decimal Notation

12.64911 \dots

Solution steps

4^{2} + 1 2^{2}

4^{2} + 1 2^{2} = 160

= 160

Prime factorization of

160 : 2^{5} \cdot 5

= 2^{5} \cdot 5

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 2^{4} 2 \cdot 5

2^{4} = 4

= 4 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 410

5.4 \cdot 1 0^{3}

\frac{160}{9}

\frac{2}{3} x - 2

36.5

\frac{60}{- 12}