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

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

(4 +sqrt5)(-2 +sqrt5)

-3 +2sqrt5

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

sqrt6(-3sqrt10 +sqrt2)

-6sqrt15 +2sqrt3

adding/subtracting

100

3root(4)5 -2root(4)80

-root(4)5

200

-2root(6)128 - 3root(6)256 -3root(6)128

-10root(6)2-6root(6)4

300

2sqrt3 +3sqrt20 -3sqrt3 +2sqrt45

-sqrt3 +12sqrt5

400

-2sqrt6 -sqrt18 +3sqrt2

-2sqrt6

500

-root(3)3 -3root(3)81 + 2root(3)81

-4root(3)3

extra

100

sqrt10 *sqrt5

5sqrt2

200

root(5)9 * root(5)45

root(5)405

300

root(3)20*root(3)75

5root(3)12