Operations with Radicals and Rational Numbers Quiz

Test your algebraic skills with operations on radicals and rational numbers. Can you simplify expressions and identify irrational numbers?

#1

Simplify the expression: √25 * √9

3
12
15
√225
#2

Which of the following is an irrational number?

0.75
√16
2/3
π
#3

If x = √16, what is the value of x?

2
4
8
16
#4

If x = √81, what is the value of x?

9
6
3
81
#5

Perform the operation: (5/2) + (3/4)

3/4
11/4
13/4
2
#6

Simplify the expression: √72 / √2

6√2
12
6√3
√36
#7

Simplify the expression: √50 - √18

2√2
4√3
5√2 - 3√2
√32
#8

Perform the operation: (2/3) * (5/4)

5/6
1
5/4
10/12
#9

Simplify the expression: 3√27

3√3
9
27
81
#10

Which of the following statements is true for rational numbers?

They cannot be expressed as fractions
They are always positive
They have repeating or terminating decimals
They are always integers
#11

Simplify the expression: 2√45

3√5
6√5
9√5
√90
#12

Which of the following is a rational number?

√2
0.666...
e (Euler's number)
#13

If x = -√36, what is the value of x?

-6
6
-√6
√6
#14

Simplify the expression: √80 / √5

4√5
8
4√2
16

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