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Simplify Radical Expressions

Last updated about 3 years ago

30 Nsɛmmisa

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Today we're going to be simplifying radical expressions.

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Confused? Watch this 2 minute video to see how to simplify #29.

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1.

Review from last class

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2.

Example: Simplify \sqrt{50}
Now you try! Simplify:

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3.

Simplify:

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4.

Simplify:
Wait..what's different about this radical?

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It's imaginary

It's a cube root instead of a square root.

It's rational

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5.

Simplify:
Finish this example. What goes in the blank?
_{Hint: your answer should have a number and radical.}

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6.

Simplify:
Your answer should contain the cube root symbol, not square root!

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7.

Simplify:

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8.

Simplify:

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9.

Simplify:
Finish this example. What goes in the blank?

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10.

Simplify:
Your answer should have the fourth root symbol in it!

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11.

Simplify:

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12.

Simplify:

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13.

Simplify:

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14.

Simplify:

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15.

Now let's simplify variables...
Simplify:

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16.

Simplify:

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17.

Simplify:

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18.

_{Hint: simplify the fraction (subtract the exponents) first!}

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19.

Simplify:
Now you try! Simplify:
_{No spaces!}

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The index (root) never changes.

The root in your answer must match the original.

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20.

Simplify:
Hint:

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21.

Simplify:
Hint:

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22.

Simplify:

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23.

Simplify:

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24.

Example:
Now you try:

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25.

Simplify:

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26.

Simplify:

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Simplify:

Simplify:

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Example:

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28.

Simplify:

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29.

Simplify:

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30.

Simplify: