What is sqrt(6^2+12^2) ?

The solution to sqrt(6^2+12^2) is 6sqrt(5)

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simplify sqrt(6^2+12^2)

simplify

6^{2} + 1 2^{2}

65

Decimal Notation

13.41640 \dots

Solution steps

6^{2} + 1 2^{2}

6^{2} + 1 2^{2} = 180

= 180

Prime factorization of

180 : 2^{2} \cdot 3^{2} \cdot 5

= 2^{2} \cdot 3^{2} \cdot 5

2^{2} \cdot 3^{2} \cdot 5 = 2^{2} 3^{2} 5

= 2^{2} 3^{2} 5

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 5

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 35

Multiply the numbers:

2 \cdot 3 = 6

= 65

\frac{x - 8}{8 - x}

1 7^{5}

- 2 x^{3} + 8 x^{2} + 5 x - 20

125 x^{6} - 8

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