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Squares & Square Roots- 4 Video Lecture | Mathematics (Maths) Class 8

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FAQs on Squares & Square Roots- 4 Video Lecture - Mathematics (Maths) Class 8

1. What is a square number and how is it calculated?
Ans. A square number is the result of multiplying a number by itself. It is calculated by multiplying the number with itself. For example, the square of 4 is 4 multiplied by 4, which equals 16.
2. What is a square root and how is it calculated?
Ans. A square root is the value that, when multiplied by itself, gives the original number. It is calculated by finding the number that, when squared, equals the original number. For example, the square root of 16 is 4, as 4 multiplied by 4 equals 16.
3. How can I determine if a number is a perfect square?
Ans. To determine if a number is a perfect square, you can take its square root and check if the result is a whole number. If the square root is a whole number, then the original number is a perfect square. For example, the square root of 25 is 5, which is a whole number, so 25 is a perfect square.
4. What is the difference between a square number and a square root?
Ans. A square number is the result of multiplying a number by itself, while a square root is the value that, when multiplied by itself, gives the original number. In other words, a square number is the product, and a square root is the factor. For example, 4 is a square number, and its square root is 2.
5. Are there any shortcuts or methods to calculate square roots without a calculator?
Ans. Yes, there are some methods to estimate square roots without a calculator. One such method is the "guess and check" method, where you make an educated guess, square it, and compare it with the original number to see if you are close. Another method is the "Babylonian method" or the "Heron's method," which involves making iterative approximations. However, these methods are not as precise as using a calculator and may require practice to master.
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