Algebra II

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Questions 1 - 10
1

Solve.

Explanation

When adding and subtracting radicals, make the sure radicand or inside the square root are the same.

If they are the same, just add the numbers in front of the radical.

Since they are not the same, the answer is just the problem stated.

2

Explanation

When adding or subtracting radicals, the radicand value must be equal. Since and are not the same, we leave the answer as it is. Answer is .

3

Simplify:

Explanation

We can take the square roots of the numerator and denominator separately. Thus, we get:

4

Simplify, and ensure that no radicals remain in the denominator.

None of these

Explanation

Moving radical from the denominator to the numerator:

Factoring:

Simplifying:

5

Simplify the fraction:

Explanation

Multiply the numerator and denominator by the denominator.

Reduce the fraction.

The answer is:

6

Expand

Explanation

To expand the exponent, we multiply the base by the power it is being raised to.

7

Expand:

Explanation

To expand the exponent, we multiply the base by whatever the exponent is.

8

Simplify .

Explanation

To solve this expression, remove the outer exponent and expand the terms.

By exponential rules, add all the powers when multiplying like terms.

The answer is:

9

Expand:

Explanation

When we expand exponents, we simply repeat the base by the exponential value.

Therefore:

10

Evaluate:

Explanation

When dealing with negative exponents, we write . Therefore .

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