Radicals

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

HSN.RN.A.2, 6.EE.A.2C, 7.EE.A.1

Standards-aligned

Morgan Meacham

Used 440+ times

FREE Resource

8 Slides • 10 Questions

Radicals

What can we do with Radicals?

Simplify
Add & Subtract
Multiply

Simplify

Make a factor tree
List the factors under the radical sign
Circle the pairs of numbers
Pairs come outside the radical sign (only once)
Multiply the remaining terms

Multiple Choice

What is the first step for simplifying radicals?

Multiply remaining terms?

Circle the pairs of numbers

Make a factor tree

Bring pairs outside the radical (only once)

List factors under the radical

Making a factor tree is the "prime factorization."

The numbers at the end of the "branches" of the factor tree are the factors.

Multiple Select

What is the prime factorization of

\sqrt{56}

2*4*7

2*2*2*7

4*7

Multiple Choice

Simplify $\sqrt{56}$

$2\sqrt{14}$

$4\sqrt{14}$

$2\sqrt{28}$

$2\sqrt{9}$

Add and Subtract

Simplify First
Combine like terms (terms with the same radicand)
ONLY outside numbers are added (radicans DO NOT change once they are simplified)

Multiple Select

What kind of terms can be added or subtracted? (Check all that apply)

Like terms

Common terms

Terms with the same radicand

Multiple Choice

Add

\sqrt{2}+3\sqrt{2}

$2\sqrt{2}$

$3\sqrt{4}$

$4\sqrt{2}$

$4\sqrt{4}$

Multiple Choice

Add

\sqrt{27}+2\sqrt{12}

$3\sqrt{3}+4\sqrt{6}$

$7\sqrt{3}$

$12\sqrt{3}$

$7\sqrt{6}$

Multiply

Multiply the outside numbers
Multiply the inside numbers
Simplify

Multiple Select

What do you do after you multiply the outside terms and the inside terms?

Simplify

Multiply

Nothing

Multiple Choice

Multiply

2\sqrt{12}\times3\sqrt{7}

*Remember to simplify*

$6\sqrt{84}$

$5\sqrt{19}$

$12\sqrt{21}$

$8\sqrt{10}$

*Be Careful*

Adding or Subtracting : SIMPLIFY FIRST
Multiplying : SIMPLIFY LAST

Multiple Select

Which of these involves simplifying? (Check all that apply)

Simplifying

Adding and Subtracting

Multiplying

Multiple Choice

When do you simplify FIRST?

Multiplying

Adding and Subtracting

Pay attention to the signs. Know when you Add, Subtract, or Multiply!

It can get tricky. Don't rush!

Radicals

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