Radicals/Exponents and Complex Review

Simplifying Radicals

100

sqrt28

2sqrt7

200

sqrt125

5sqrt5

300

sqrt(100v^3)

10vsqrtv

400

sqrt(75x^2y)

5xsqrt(3y)

500

-8sqrt(24k^3)

-16ksqrt(6k)

Add/Subtract Radicals

100

3sqrt6-4sqrt6

-sqrt6

200

-10sqrt7+12sqrt7

2sqrt7

300

2sqrt6-2sqrt24

-2sqrt6

400

3sqrt18+2sqrt2

11sqrt2

500

-3sqrt18+3sqrt8-sqrt24

-3sqrt2-2sqrt6

Multiplying Radicals and Converting

100

Convert to radical form

(3x)^(7/2

(sqrt(3x))^7 

200

Convert the following to exponential form 

sqrt(x^2/x^-9

x^(7/2)

300

sqrt(15n^2)*sqrt(10n^3)

5n^2sqrt(6n)

400

-3sqrt3 (2+sqrt6)

-6sqrt3-9sqrt2

500

(sqrt5-sqrt3)(sqrt5+sqrt3)

2

Simplify Complex

100

sqrt-18

3isqrt2

200

sqrt(-125)

5isqrt5

300

i^23

-i

400

i^65

i

500

i^6*i^7*i^8

i

Operations with Complex

100

sqrt(-49)*sqrt(-1)

-7

200

sqrt-2)*sqrt(-18)

-6

300

-3sqrt(-10)*2sqrt(-10)

60

400

sqrt(-400)/sqrt(-25)

4

500

sqrt(-72)+sqrt(-32)+3sqrt(-8)

16isqrt2