5.b Radicals Flashcards by M W

Q

If a and b are non-negative numbers, how else could you write this?

A

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Q

Can this rule be applied with more than just two roots?

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Q

Solve this:

A

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Q

How can you rewrite this?

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Q

What if m is even?

A

Then a and b must be non-negative

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Q

How can you simplify a radical?

A

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Q

How would you simplify this?

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Q

How would you simplify this?

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Q

How would you simplify this?

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Q

How would you simplify this?

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Q

How else can you express this?

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Q

What is important with both variables in this case:

A

a is NON-negative
b is positive

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Q

How could you solve this?

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Q

How could you solve this?

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Q

What is important to know about a and b?

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A

If n is even, a is required to be non-negative, and b is required to be positive

Because b is in the denominator is cannot be 0 in any event

Q

Can you combine radicals with different indices?

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A

NO!

You can not combine radicals with different indices in multiplication nor in division

Q

How could you express this?

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A

Q

How could you express this?

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A

Q

Answer this:

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A

Q

How would you approximate a non-perfect square root?

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A

You use the closest perfect square roots as reference points!

Q

How would you approximate √70?

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A

Q

What is the order of operations for addition and subtraction in roots?

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A

You HAVE to perform it under the radical prior to taking the root!

Q

How would you do this?

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A

You can NOT split up the roots prior to the addition, that would result in a DIFFERENT answer!

Answer this:

What are like radicals and why are they important?

You can only add or subtract if the radicals are like radicals! Like radicals: 9√4 and 3√4 Not like radicals: 9√4 and 4√9 They need to have the same root index and the same radicand (under the radical)

Answer this: