What is sqrt(3^2+9^2) ?

The solution to sqrt(3^2+9^2) is 3sqrt(10)

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simplify sqrt(3^2+9^2)

simplify

3^{2} + 9^{2}

310

Decimal Notation

9.48683 \dots

Solution steps

3^{2} + 9^{2}

3^{2} + 9^{2} = 90

= 90

Prime factorization of

90 : 2 \cdot 3^{2} \cdot 5

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

Apply radical rule:

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

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

= 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 310

\frac{x - 2}{5} + 8 = 11

ln (2) = c

x^{2} > 16

8 x^{2} - 6 x - 5 = 2 x^{2}