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

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

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simplify sqrt(10^2+6^2)

simplify

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

234

Decimal Notation

11.66190 \dots

Solution steps

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

1 0^{2} + 6^{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

\frac{140}{3}

\frac{5}{6} - \frac{7}{10}

\frac{12 x ^{6} y}{8 x ^{4} y ^{5}}

1 - a^{5}

50 g