PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoWe tend to approximate some values to understand or use that value in our day-to-day lives easier.
Let us understand this concept through a real-life example.
The expenditure of the family for a month is \(12990\).
The family is approximately spending \(13000\) per month.
What do you think about the above two statements? Both statements mean the same thing, right?
Sometimes, we use this approximate, rounded value for better understanding.
Like this, we can round off the values of the square root.
If the given number is not a perfect square, we estimate the approximate square root value for that number.
Sometimes, we use this approximate, rounded value for better understanding.
Like this, we can round off the values of the square root.
If the given number is not a perfect square, we estimate the approximate square root value for that number.
Example:
Find the approximate value of \(\sqrt{78}\).
The closest perfect squares near \(78\) are \(64\) and \(81\).
\(\sqrt{64} = 8\) and \(\sqrt{81} = 9\)
The number \(78\) lies between the square of \(64\) and \(81\).
\(\Rightarrow 64 < 78 < 81\)
\(\Rightarrow \sqrt{64} < \sqrt{78} < \sqrt{81}\)
\(\Rightarrow \sqrt{8^2} < \sqrt{78} < \sqrt{9^2}\)
\(\Rightarrow 8 < \sqrt{78} < 9\) (Square and square root get cancelled)
In comparison, \(78\) stays near to \(81\), which is the square of \(9\).
Therefore, we can write the approximate square root of \(78\) as \(9\).
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