Bartemio's Chapter 10 Review

Miscellaneous

100

Assume that all variables represent positive real numbers. 

sqrt-144

Not a real Number

200

Find the cube root

root(3)1000

10

300

y^(3/4)/y^(1/4)

y^(1/2)

400

Simplify

sqrt(81x^2)

9x

500

Rationalize the denominator

2/sqrt(3)

(2sqrt(3))/3

600

Rationalize the denominator

(sqrt10-4)/(sqrt3)

(sqrt(30)-4sqrt(3))/3

700

Rationalize the denominator

 (1 + √ 5)/ (3 - √ 5)

2 + √ 5

Simplifying

100

Multiply and simplify

sqrt(7x^3) * sqrt(7x^5)

7x^4

200

Simplify 

sqrt(y^13)

y^6sqrt(y)

300

Simplify the radical expression 

root(3)(128)

4root(3)(2)

400

Use the quotient rule to divide and simplify

root(3)(48x^(7))/(root(3)(6x))

2x^2

500

Simplify -3√24a⁴b²c³

-6a²bc√6c

600

Find the cube root. 

root(3)(-64x^24y^30)

-4x^8y^10

700

root(3)(-64a^14b^13)

-4a^4b^4root(3)(a^2b)

Add/Subt & Multiplying

100

Add and simplify

3sqrt(3) + 9sqrt(27)

3sqrt(3) + 27sqrt(3)

200

sqrt(112) - sqrt(448)

-4sqrt7

300

sqrt162 +3sqrt128 -8sqrt72

-15sqrt2

400

14root(3)(2)-3root(3)(54)

5root(3)(2)

500

sqrt(2a) + 4sqrt(72a) - 2sqrt(32a)

17sqrt(2a)

600

12root(4)(x^7) -4xroot(4)(x^3)

8xroot(4)(x^3)

700

Multiply and Simplify 

sqrt5(sqrt35 + sqrt5)

5sqrt7 + 5

Solving Radical Equations

100

Solve

sqrt(6x) = 3

x=3/2

200

Solve

sqrt(4x)=-2

No Solution

300

Solve

sqrt(x+3)-9=0

x=78

400

Solve 

sqrt(3x+4)+3=0

No Solution

500

Solve

root(3)(3x)=-5

x=-125/3

600

Solve

root(3)(x+2)-3=0

x=25

700

sqrt(x+1) = x-1

x = 3

Imaginary #'s

100

What is the square root of -1?

What is i?

200

What is the value of "i" squared?

-1

300

Find the square root of -99

What is 3i root 11

400

(4 +i)-(6+2i)

What is -2-i?

500

(2 +2i)(4+i)

What is 6+10i

600

(3+5i)^{^2}

What is -16+30i

700

(6 +2i)/(4+8i)

What is 1/2 - 1/2 i