Mastery of Surds, Indices, and Logarithms

Simplify the surd √50.

• 5√2

• 7√2

• 10

• 25

• 5√5

If 8^x = 64, what is the value of x?

• 2

• 3

• 4

• 6

• 8

Express 4^(3/2) as a surd.

• 2√2

• 4√4

• 8

• 2√4

• 8√2

What is log_10(1000)?

• 2

• 3

• 4

• 10

• 100

Simplify the expression (2√3 + 3√2)(2√3 - 3√2).

• 12 - 18

• 4 - 9

• 12

• -6

• 21

If 3^y = 81, what is the value of y?

• 2

• 3

• 4

• 8

• 9

What is the value of √(1/49)?

• 1/7

• 7

• 1/49

• 49

• 7/49

If log_2(x) = 5, what is the value of x?

• 10

• 20

• 32

• 50

• 64

Simplify the expression (16√16)^(1/4).

• 2

• 4

• 8

• 16

• 64

If log_5(125) = x, what is the value of x?

• 2

• 3

• 5

• 25

• 125