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I still don't understand square root Calculate √2654

User Santosh B
by
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1 Answer

7 votes

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+(2654-2601)/(2\ast51) \\ \\ \sqrt[]{2654}=51+(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

User Will Stern
by
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