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Simplify

100

What is the index if nothing is written?

2

200

sqrt(36)

6

300

cube root: (27y⁶)

3y

400

4th Root: (48x⁸y⁶)

2x²y * 4th root(3y²)

500

5th Root (468x¹²y⁶)

3x²y 5th root (2x²y)

Add

100

sqrt(144) + sqrt(25)

17

200

sqrt(24) + sqrt(99)

2 sqrt(6) + 3 sqrt(11)

300

cube rt(27) + cube rt(135) + cube rt (64)

7 + 3 cube rt(5)

400

sqrt(44) + sqrt(20) + 3 sqrt(44) + 3 sqrt(5)

8 sqrt(11) + 5 sqrt(5)

500

cube rt(27x²) + 2 cube rt(24x³) + 2 sqrt(55)

3 cube rt(x²) + 4x cube rt(3) + 2 sqrt(55)

Subtract

100

sqrt(16) - sqrt(4)

2

200

3sqrt(44) - sqrt(44)

4sqrt(11)

300

cube rt(64) - cube rt(32) - cube rt(8) 

2-2 cube rt(4)

400

sqrt(121) - sqrt(24) - cube rt(27) - cube rt(24)

8 - 2sqrt(6) - 2 cube rt(3)

500

sqrt(75) - cube rt(54) - sqrt(125) - cube rt(162)

5 sqrt(3) - 3 cube rt(3) - 5 sqrt (5) - 3 cube rt(6)

Multiply

100

sqrt(9) * sqrt(25)

15

200

2sqrt(3) * 4sqrt(3)

24

300

2 sqrt(8) * 3 sqrt(16) 

48 sqrt(2)

400

5 cube rt(16) * 10 cube rt(2)

100 cube rt(4)

500

cube rt(8) * 3 cube rt(32) * 5 cube rt(40)

120 cube rt(20)

Divide

100

sqrt(9) / sqrt(144)

1/4

200

2/sqrt(5)

2 sqrt(5) / 5

300

3 sqrt (3) / 4 sqrt(5) 

3 sqrt(15) / 20

400

(1 + sqrt 2) / sqrt(5)

(sqrt(5) + sqrt(10)) /5

500

(2 + 4 sqrt 3) / (4 - sqrt 6)

(12sqrt(2) + 2sqrt(6) + 16sqrt(3)+8)/10

or

(6sqrt(2) + sqrt(6) + 8sqrt(3) + 4)/5