9-1 Simplifying Radical Expressions

6 and 7

Between which two consecutive whole numbers is √46?

4

Divide (6√20) by 3√5) and express the quotient in simplest radical form..

-12√3

Express -3√48 in simplest radical form.

-25√3

Express the radical in simplest form: -5√75

3√10

Expressed in simplest radical form, the product of √6 × √15 is... (Hint: Multiply first, then simplify the product)

-10√3

Find the value of -√300 in simplest radical form.

25 ; rational

Find √625. Is this rational or irrational?

2√22 ; irrational

Find √88 in simplest radical form. Is this rational or irrational?

288√2

Simplify the radical expression: 8√12 × 3√24

9/10

Simplify √(81/100)

6√3

Simplify √108

2√6

Simplify √24

4√2

Simplify √32

2√15

Simplify √60

4√3

Simplify √8 × √6

5√5

Simplify: √125

5√2

The expression √50 can be simplified to...

1, 4, 9, 16, 25, 36, 49, 64

What are the first 8 perfect squares...

-8√2

What is -√128 in simplest radical form?

6√5

What is 2√45 equivalent to in simplest radical form?

16

What is the largest perfect square factor of √80?

6√2

What is √72 expressed in simplest radical form?

10

When 5√20 is expressed in simplest radical form, the result is k√5. What is the value of k (the coefficient!)?

21√10

Which expression is equivalent to 7√90?