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Problem Set 2 : Square Root and Cube Root Video Lecture | CSAT Preparation - UPSC

FAQs on Problem Set 2 : Square Root and Cube Root Video Lecture - CSAT Preparation - UPSC

1. What is a square root?

Ans. A square root is a mathematical operation that finds a value which, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 multiplied by itself equals 9.

2. What is a cube root?

Ans. A cube root is a mathematical operation that finds a value which, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3 because 3 multiplied by itself three times equals 27.

3. How can I calculate the square root of a number without a calculator?

Ans. To calculate the square root of a number without a calculator, you can use the method of long division. Start by finding a number that, when multiplied by itself, gives a product less than or equal to the given number. Then, divide the number into two parts: one part represents the quotient and the other part represents the remainder. Repeat this process until you have the desired level of accuracy.

4. What is the difference between a square root and a cube root?

Ans. The main difference between a square root and a cube root is the number of times a value is multiplied by itself. A square root involves multiplying a number by itself once, while a cube root involves multiplying a number by itself three times. The square root gives a value that, when multiplied by itself, equals the original number, while the cube root gives a value that, when multiplied by itself three times, equals the original number.

5. Can you give an example of finding the square root and cube root of a number?

Ans. Certainly! Let's take the number 64 as an example. The square root of 64 is 8 because 8 multiplied by itself equals 64. The cube root of 64 is 4 because 4 multiplied by itself three times equals 64.

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