Understanding Roots and Their Properties

This video tutorial covers the concept of roots and their properties, including multiplication, division, addition, subtraction, and simplification. It provides definitions, examples, and practice problems to help students understand and apply these concepts in mathematics, specifically for grade 10 under the 2013 curriculum.

What is the square root of 9?

• 2

• 5

• 3

• 4

If you multiply the cube root of 3 by the cube root of 9, what is the result?

• Cube root of 36

• Cube root of 27

• Cube root of 12

• Cube root of 18

What is the result of dividing the square root of 96 by the square root of 6?

• Square root of 12

• Square root of 16

• Square root of 18

• Square root of 20

How do you simplify 3 times the fifth root of 7 plus 6 times the fifth root of 7 minus 2 times the fifth root of 7?

• 5 times the fifth root of 7

• 7 times the fifth root of 7

• 9 times the fifth root of 7

• 11 times the fifth root of 7

What is the simplified form of the square root of 18 plus the square root of 8?

• 5 times the square root of 2

• 6 times the square root of 2

• 7 times the square root of 2

• 8 times the square root of 2

What is the result of the cube root of 5 cubed?

• 35

• 25

• 5

• 15

If you have the seventh root of 19 raised to the seventh power, what is the result?

• 91

• 49

• 19

• 7

What is the result of multiplying 2 times the square root of 50 by 3 times the square root of 32?

• 300

• 240

• 180

• 120

How do you simplify the expression 4 times the square root of 3 plus 3 times the square root of 2 times 2 times the square root of 2 minus 5 times the square root of 3?

• -5 times the square root of 6

• -7 times the square root of 6

• -3 times the square root of 6

• -1 times the square root of 6

What is the simplified form of the fifth root of 64 times the fifth root of 48 divided by the fifth root of 3?

• 16

• 12

• 8

• 4