What is sqrt(12^2+18^2) ?

The solution to sqrt(12^2+18^2) is 6sqrt(13)

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simplify sqrt(12^2+18^2)

simplify

1 2^{2} + 1 8^{2}

613

Decimal Notation

21.63330 \dots

Solution steps

1 2^{2} + 1 8^{2}

1 2^{2} + 1 8^{2} = 468

= 468

Prime factorization of

468 : 2^{2} \cdot 3^{2} \cdot 13

= 2^{2} \cdot 3^{2} \cdot 13

2^{2} \cdot 3^{2} \cdot 13 = 2^{2} 3^{2} 13

= 2^{2} 3^{2} 13

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 13

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 313

Multiply the numbers:

2 \cdot 3 = 6

= 613

\frac{1}{2} 5

2 \frac{5}{9}

- 15 \cdot (- 15)