What is sqrt(6^2+10^2) ?

The solution to sqrt(6^2+10^2) is 2sqrt(34)

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simplify sqrt(6^2+10^2)

simplify

6^{2} + 1 0^{2}

234

Solution steps

6^{2} + 1 0^{2}

6^{2} + 1 0^{2} = 136

= 136

Prime factorization of

136 : 2^{3} \cdot 17

= 2^{3} \cdot 17

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply radical rule:

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

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

= 2^{2} 2 \cdot 17

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 17

Multiply the numbers:

2 \cdot 17 = 34

= 234

8 \cdot 30

2 (x - 3)^{2} + 5

50 \cdot 32

18 f^{8}

\frac{7 - i}{2 + 10 i}