What is sqrt((9)^2+(-27)^2) ?

The solution to sqrt((9)^2+(-27)^2) is 9sqrt(10)

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simplify sqrt((9)^2+(-27)^2)

simplify

(9)^{2} + (- 27)^{2}

910

Decimal Notation

28.46049 \dots

Solution steps

9^{2} + (- 27)^{2}

9^{2} + (- 27)^{2} = 810

= 810

Prime factorization of

810 : 2 \cdot 3^{4} \cdot 5

= 2 \cdot 3^{4} \cdot 5

Apply radical rule:

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

2 \cdot 3^{4} \cdot 5 = 3^{4} 2 \cdot 5

= 3^{4} 2 \cdot 5

3^{4} = 9

= 9 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 910

\frac{sin ( x )}{cot ( x )}

4 - (- 12)

\frac{4 + i}{i}

(\frac{x}{2} - 5 - x^{2})^{2}