Simplify three square root of five end root minus two square root of seven end root plus square root of forty five end root minus square root of twenty eight. two square root of twelve
two square root of two
six square root of five end root minus four square root of seven
six square root of ten end root minus four square root of fourteen
Question 2(Multiple Choice Worth 1 points)
(03.01 MC)

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

two to the seven eighths power, all over two to the one fourth power

the eighth root of two to the fifth power
the fifth root of two to the eighth power
the square root of two to the five eighths power
the fourth root of two to the sixth power
Question 3(Multiple Choice Worth 1 points)
(03.01 MC)

Simplify square root of ten times square root of eight.

square root of eighteen
four square root of five
square root of eighty
eight square root of ten
Question 4(Multiple Choice Worth 1 points)
(03.01 LC)

Rewrite the expression with a rational exponent as a radical expression.

four to the two fifths power all raised the one fourth power

the tenth root of four
the fourth root of four
the fifth root of four squared
the square root of four to the tenth power
Question 5(Multiple Choice Worth 1 points)
(03.01 MC)

Explain how the Quotient of Powers Property was used to simplify this expression.

5 to the fourth power, over 25 = 52

By simplifying 25 to 52 to make both powers base five and subtracting the exponents
By simplifying 25 to 52 to make both powers base five and adding the exponents
By finding the quotient of the bases to be one fifth and cancelling common factors
By finding the quotient of the bases to be one fifth and simplifying the expression
Question 6(Multiple Choice Worth 1 points)
(03.01 MC)

Simplify square root of five times the quantity six minus four square root of three.

9
thirty square root of three
six square root of five minus four square root of fifteen
square root of thirty minus twenty square root of three
Question 7(Multiple Choice Worth 1 points)
(03.01 MC)

Which equation justifies why ten to the one third power equals the cube root of ten?

ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten
ten to the one third power all raised to the third power equals ten to the one third times three power equals ten
ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten
ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten
Question 8(Multiple Choice Worth 1 points)
(03.01 LC)

Rewrite the radical expression as an expression with a rational exponent.

the fourth root of seven to the fifth power

seven to the five fourths power
x20
x
seven to the four fifths power
Question 9(Multiple Choice Worth 1 points)
(03.01 MC)

Solve seven square root three plus two square root nine and explain whether the answer is rational or irrational.

The answer nine square root of twelve is rational because the sum of a rational number and irrational number is a rational number.
The answer nine square root of twelve is irrational because the sum of a rational number and irrational number is an irrational number.
The answer seven square root of three plus six is rational because the sum of a rational number and irrational number is a rational number.
The answer seven square root of three plus six is irrational because the sum of a rational number and irrational number is an irrational number.
Question 10(Multiple Choice Worth 1 points)
(03.01 MC)

Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

Steps Reasons
1. a over b plus c over d Given
2. ad over bd plus cb over bd
3. ad plus cb all over bd Simplify

Fill in the missing reason in the proof.
Multiply to get a common denominator.
Add to get a common denominator.
Distribute d to all terms.
Add d to all terms.