Simplify the square root of an expression with four variables

Simplify the square root of an expression with four variables

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to handle variables separately when dealing with square roots. It demonstrates rewriting expressions using power rules to simplify them. The process involves expressing terms as squares to easily take square roots, resulting in simplified expressions outside the radical. The tutorial concludes with a simplified expression and remaining terms under the radical.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step when dealing with variables under square roots?

Multiply all variables together

Ignore the exponents

Treat each variable separately

Combine all variables into one expression

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you rewrite A to the 7th power to facilitate taking the square root?

A to the 6th times A

A squared times A to the 5th

A cubed squared times A

A to the 7th squared

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of rewriting B to the 18th as B to the 9th squared?

To apply the power rule for square roots

To simplify addition

To make it easier to multiply

To reduce the exponent

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After taking the square root of the squared terms, what remains under the radical?

A and B

C and D

A and D

B and C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of taking the square root of C squared squared?

C to the 4th

C squared

C cubed

C