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Tricks to find Imperfect Square root Video Lecture | Mathematics (Maths) Class 10

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FAQs on Tricks to find Imperfect Square root Video Lecture - Mathematics (Maths) Class 10

1. What is an imperfect square root?
Ans. An imperfect square root is a square root that results in a non-perfect whole number or decimal. It is the opposite of a perfect square root, which gives a whole number as the result.
2. How can I find an imperfect square root?
Ans. To find an imperfect square root, you can use various methods such as using a calculator, estimating the square root, or using long division. These methods help in finding the closest whole number or decimal value that represents the square root.
3. Can an imperfect square root be simplified?
Ans. No, an imperfect square root cannot be simplified further if it results in a non-perfect whole number or decimal. However, if the result is a fraction, it can be simplified by finding the common factors of the numerator and denominator.
4. What is the difference between a perfect square root and an imperfect square root?
Ans. A perfect square root gives a whole number as the result, whereas an imperfect square root gives a non-perfect whole number or decimal. Perfect square roots have exact values, such as the square root of 4 is 2, while imperfect square roots have approximate values, such as the square root of 5 is approximately 2.236.
5. How are imperfect square roots useful in real-life situations?
Ans. Imperfect square roots are used in various fields such as engineering, physics, finance, and computer science. They help in calculating measurements, determining distances, analyzing data, and solving complex equations. For example, calculating the square root of a number is essential in determining the length of one side of a square given its area.
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