Question

$$\sqrt{(1-3)^{2}+(-1-30)^{2}}$$

Answer

sqrt(965)

Solution


Simplify  \(1-3\)  to  \(-2\).
\[\sqrt{{(-2)}^{2}+{(-1-30)}^{2}}\]
Simplify  \(-1-30\)  to  \(-31\).
\[\sqrt{{(-2)}^{2}+{(-31)}^{2}}\]
Since the power of 2 is even, the result will be positive.
\[\sqrt{{2}^{2}+{(-31)}^{2}}\]
Simplify  \({2}^{2}\)  to  \(4\).
\[\sqrt{4+{(-31)}^{2}}\]
Since the power of 2 is even, the result will be positive.
\[\sqrt{4+{31}^{2}}\]
Simplify  \({31}^{2}\)  to  \(961\).
\[\sqrt{4+961}\]
Simplify  \(4+961\)  to  \(965\).
\[\sqrt{965}\]

Decimal Form: 31.064449