Warm -Up

• Simplify each square root.

A) √450 B) √84 C) 3√28

​

​

​

D) √315 E) √392 F) 5√40

Warm - Up

• Simplify each square root.

A) √330 B) √24 C) √350

​

​

D) √96 E) √243 F) √125

Simplifying Square Roots Day 2

What will we learn today?

​

To rationalize the denominator

Simplifying Square Roots Day 2

You can never leave a square root in the denominator. You have to rationalize the denominator.

1 has a radical sign in the denominator

√5 so we have to get rid of it.

To get rid of any radical in the denominator, multiply the denominator and the numerator by the radical in the denominator.

1 · √5 = √5 = √5

√5 · √5 = √25 = 5

Simplifying Square Roots Day 2

• Rationalize each denominator and simplify.
• 3 B) √2

√7 √6

​

C) 3 D) 11

√ 5 √ 32

Simplifying Square Roots Day 2

• Sometimes you can reduce square roots before you simplify them.

A) √42 B) √20 C) √36

√ 6 √5 √12

Simplifying Square Roots Day 2

• Simplify.
• 2 B) √6 C) √15 D) 30

√8 √10 √ 5 √ 5

​

• 2√3

√5