What is sqrt(100-(-6^2)) ?

The solution to sqrt(100-(-6^2)) is 2sqrt(34)

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simplify sqrt(100-(-6^2))

simplify

100 - (- 6^{2})

234

Decimal Notation

11.66190 \dots

Solution steps

100 - (- 6^{2})

Apply rule:

a - (- b) = a + b

100 - (- 6^{2}) = 100 + 6^{2}

= 100 + 6^{2}

100 + 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

\cdot 143 + 305 \cdot 70

\frac{4}{2}

- 1 \times (- 1)

x + \frac{1}{x}

\frac{2}{0}