CLAT > Quantitative Techniques for CLAT > Trick to find Perfect Square Root
Trick to find Perfect Square Root Video Lecture - Quantitative Techniques for CLAT
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FAQs on Trick to find Perfect Square Root Video Lecture - Quantitative Techniques for CLAT
| 1. What is a perfect square? |  |
A perfect square is a number that can be expressed as the product of an integer multiplied by itself. For example, 25 is a perfect square because it can be expressed as 5 multiplied by 5.
| 2. How can I determine if a number is a perfect square? | |
To determine if a number is a perfect square, you can take its square root and check if the result is an integer. If the square root is an integer, then the number is a perfect square. For example, the square root of 64 is 8, which is an integer, so 64 is a perfect square.
| 3. Is there a trick to find the square root of a perfect square? | |
Yes, there is a trick to find the square root of a perfect square. You can prime factorize the number and group the factors in pairs. The square root of a perfect square will have one factor from each pair. For example, to find the square root of 36, you can prime factorize it as 2^2 * 3^2. Grouping the factors in pairs, you get 2 * 3, which is 6, the square root of 36.
| 4. Can you give an example of finding the square root of a perfect square using the trick? | |
Sure! Let's find the square root of 100 using the trick. Prime factorizing 100, we get 2^2 * 5^2. Grouping the factors in pairs, we have 2 * 5, which is 10. Therefore, the square root of 100 is 10.
| 5. Are there any other methods to find the square root of a perfect square? | |
Yes, apart from the trick mentioned earlier, you can also use the long division method or a calculator to find the square root of a perfect square. The long division method involves dividing the number into equal groups until you reach the perfect square root. A calculator can directly give you the square root of a number.
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