Question

Can the square root of $34$ be simplified?

Answer 1

Finding the square root of a number by prime factorization :

$\begin{array}{rcl}\sqrt{34}& =& \sqrt{2X17}\\ \sqrt{34}& =& \sqrt{2}x\sqrt{17}\end{array}$

On substituting the root values of $\sqrt{2}=1.414$ and $\sqrt{17}=4.123$ we get,

$$\begin{gathered} \sqrt{34}=1.414X4.123 \\ \sqrt{34}=5.831 \end{gathered}$$

Hence, the square root of $34$ be simplified.