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

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

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simplify sqrt(9^2+3^2)

simplify

9^{2} + 3^{2}

310

Solution steps

9^{2} + 3^{2}

9^{2} + 3^{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

π \cdot 1 5^{2}

3 m x^{3} + 6 m^{2} x

\frac{( 2 + h ) ^{3} - 8}{h}

t + t

2 - 8 + 50