PUMPA - SMART LEARNING
எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்
Book Free DemoLet us remember the formulas for solving and simplifying the radicals of positive integers m, n and positive rational numbers a and b.
The laws of radicals are:
| S. No | Radical notation | Index notation |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 |
Example:
Write the surd \sqrt{96} in its simplest form.
Solution:
\sqrt{96} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 3}
= \sqrt{2^2 \times 2^2 \times 2 \times 3}
= \sqrt{2^2} \times \sqrt{2^2} \times \sqrt{2} \times \sqrt{3} (Law of radicals (2))
= 2 \times 2 \times \sqrt{2} \times \sqrt{3} (Law of radicals (1))
= 4 \times \sqrt{2} \times \sqrt{3}
Therefore, the simplest form is 4 \times \sqrt{2} \times \sqrt{3}.
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