Simplifying Radicals + Operations With Radicals

Simplifying

100

³√64x⁶

4x²

200

2√-196x⁵

28ix²√x

300

⁴√324x⁵

3x ⁴√4x

400

³√-2160

-6 ³√10

500

³√200x⁸y⁹z¹⁷

2x²y³z^{5 3}√25x²z²

Adding + Subtracting

100

√75 + √12

7√3

200

8√32 - 4√8

24√2

300

9√12 + √32 - √72

18√3 - 2√2

400

4 ³√3 - ³√24 - 2 ³√3

0

500

Find the perimeter of a square with side length of 3√52 + 7√32 feet

24√13 + 112√2 feet

Multiplying

100

2√6x² ⋅ 3√8x³

24x²√3x

200

√3x²(4√6x-√3x²)

12x√2x - 3x²

300

(2√2+2√5)(3-6√10)

-54√2-18√5

400

(2√6-√10)²

34 - 8√15

500

Find the area of a rectangle with a width of 4√8 - 2√5 meters and a length of 4√8 + 2√5 meters.

108 meters squared

Variables

100

√45x⁴y³z

3x²y√5yz

200

√144x⁷y³¹

12x³y¹⁵√xy

300

3√4x² + 4√18x - 5√2x - 7x

7√2x - x

400

2√3(4√3x - 5√6x³)

24√x - 30x²√2x

500

(5√3x⁶y² - 9√y⁴) (5√3x⁶y^y + 9√y⁴)

75x⁶y² + 81y⁴

Rationalizing

100

(2√5) / (√3)

(2√15)/3

200

(√3 - 3) / (√20)

(√15 - 3√5) / 10

300

2 / (2√5 - 4)

√5 + 2

400

(3 + 2√3) / (2 + 2√3)

(3 + √3) / 4

500

(5 - 4√5) / (5 + √5)

(9 - 5√5) / 4