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

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

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simplify sqrt(12^2+6^2)

simplify

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

65

Decimal Notation

13.41640 \dots

Solution steps

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

1 2^{2} + 6^{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{1}{x - 2} - \frac{6}{x ^{2} + x - 6}

(\frac{3}{2} x - 1) (2 x - 2)

\frac{31}{9}

\frac{4 + - 4}{2}

\frac{4 a}{5 b ^{3}} + \frac{6 a}{2}