Operations with Radicals

Addition

100

√54 + √6

4√6?

200

√18 + √8

5√2

300

√12 + √27 + √5

5√3 + √5

400

3√20 + √45 + 2√5

11√5?

500

2√72x² + √50x + 3√81 + 5√32x

12x√2 + 25√2x + 18

Subtraction

100

4√20 - 2√45

2√5?

200

2√75 - 3√48

-2√3?

300

2√96 - √54 + √8

5√6 + 2√2

400

√80 - 2√45 - √56

 -2√14 - 2√5

500

√98x³ - 2√48 - 3√64 - 4√108

7x²√2x - 14√3 - 24

Multiplication

100

√18(√14)

6√7

200

√4(√2 + √18)

10√2

300

(√3 + √2)(√27 - √8)

5 + √6

400

-3√12(5√3 - 4√6)

 -90 + 72√2

500

(√4 + √3)(√2 - √6)

- √2 - √6

Division

100

(√9/√25)

3/5

200

√50/√2

5

300

- 3 - √2/3√17

- 3√17 - √34/51

400

(3/√5x) - 3

3√5x + 9/5x - 9

500

(3/ - 4x²⁾ - 5√x⁴

- 1/3x²

All

100

2√50 + 3√32

22√2

200

4√3(2√6 - 5)

24√2 - 20√3

300

3√28 - √63 - 2√7

√7

400

(√96 - 2√6)/(2√3)

√2

500

(12/√3) + √75

9√3