What is sqrt(15^2+9^2) ?

The solution to sqrt(15^2+9^2) is 3sqrt(34)

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simplify sqrt(15^2+9^2)

simplify

1 5^{2} + 9^{2}

334

Decimal Notation

17.49285 \dots

Solution steps

1 5^{2} + 9^{2}

1 5^{2} + 9^{2} = 306

= 306

Prime factorization of

306 : 2 \cdot 3^{2} \cdot 17

= 2 \cdot 3^{2} \cdot 17

Apply radical rule:

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

2 \cdot 3^{2} \cdot 17 = 3^{2} 2 \cdot 17

= 3^{2} 2 \cdot 17

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 17

Multiply the numbers:

2 \cdot 17 = 34

= 334

4 x (x + 2)

lo g_{3} (6^{2})

\frac{4}{9} - \frac{11}{9}

\frac{25 x ^{2} y - 40 x z ^{2}}{- 5 x}

9 a^{2} - 25 b^{4}