Understanding Square Roots of Decimals and Fractions

This video tutorial explains how to find the square roots of fractions and decimals. It begins with an example of calculating the square root of a fraction, 25/196, by taking the square root of the numerator and denominator separately. The video then demonstrates how to handle decimals by converting them into fractions before finding their square roots. The tutorial emphasizes the importance of verifying results by multiplying the answer by itself to ensure accuracy.

What is the main goal when finding the square root of a number?

• To find a number that adds up to the original number

• To find a number that divides the original number

• To find a number that, when multiplied by itself, equals the original number

• To find a number that subtracts from the original number

How can you find the square root of a fraction?

• By dividing the square root of the numerator by the square root of the denominator

• By multiplying the square roots of the numerator and denominator

• By subtracting the square root of the denominator from the numerator

• By adding the square roots of the numerator and denominator

What is the square root of 25?

• 5

• 20

• 10

• 15

What is the square root of 196?

• 13

• 12

• 15

• 14

What is the first step in finding the square root of a decimal?

• Divide the decimal by 10

• Convert the decimal to a percentage

• Convert the decimal to a fraction

• Multiply the decimal by 10

How is 1.96 expressed as a fraction?

• 196/10

• 19.6/100

• 1.96/10

• 196/100

What is the square root of 100?

• 5

• 15

• 10

• 20

What is the simplified form of the fraction 14/10?

• 7/10

• 14/20

• 7/5

• 14/5

What is 1.4 squared?

• 1.94

• 2.16

• 1.96

• 2.04

What is the decimal representation of 7/5?

• 1.5

• 1.3

• 1.4

• 1.2