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Operations with Radicals and Rational Numbers Quiz

#1

Simplify the expression: √25 * √9

15
Explanation

Product of square roots of perfect squares.

#2

Which of the following is an irrational number?

π
Explanation

π is a non-repeating, non-terminating decimal.

#3

If x = √16, what is the value of x?

4
Explanation

Square root of a perfect square.

#4

If x = √81, what is the value of x?

3
Explanation

Square root of a perfect square.

#5

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

13/4
Explanation

Addition of fractions.

#6

Simplify the expression: √72 / √2

6√2
Explanation

Quotient of square roots.

#7

Simplify the expression: √50 - √18

5√2 - 3√2
Explanation

Subtraction of square roots.

#8

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

5/6
Explanation

Multiplication of fractions.

#9

Simplify the expression: 3√27

9
Explanation

Cube root of a perfect cube.

#10

Which of the following statements is true for rational numbers?

They have repeating or terminating decimals
Explanation

Characteristic of rational numbers.

#11

Simplify the expression: 2√45

6√5
Explanation

Multiplying a constant with a square root.

#12

Which of the following is a rational number?

0.666...
Explanation

Repeating decimal representation.

#13

If x = -√36, what is the value of x?

-6
Explanation

Square root of a perfect square.

#14

Simplify the expression: √80 / √5

4√5
Explanation

Quotient of square roots.

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