Question

I still don't understand square root Calculate √2654

Answer 1

Given:

$\sqrt[]{2654}$

The square root of a number is the inverse operation of the square operation of a number.

The square root of a number is the number that when multiplied by itself gives the original number as the result.

To find the square root of 2654, we have:

$\begin{gathered} \sqrt[]{2654} \\ \\ =51.5 \end{gathered}$

The number given, 2654 is not a perfect square.

A square root of a perfect square is a non decimal number.

Apply the formula:

$\begin{gathered} \sqrt[]{x}=\sqrt[]{y}+\frac{x-y}{2\ast\sqrt[]{y}} \\ \\ \text{Where y is the closest p}\operatorname{erf}ect\text{ square} \end{gathered}$

y is the closest perfect square.

$\begin{gathered} \sqrt[]{2654}=\sqrt[]{2601}+\frac{2654-2601}{2\ast\sqrt[]{2601}} \\ \\ \sqrt[]{2654}=51+\frac{2654-2601}{2\ast51} \\ \\ \sqrt[]{2654}=51+\frac{53}{102} \\ \\ \sqrt[]{2654}=51+0.51=51.51 \end{gathered}$

If the number is a perfect square, the square root of the number would be a non decimal number.

ANSWER:

51.5