Verified answer

√18 + √300 - √75

Factors of 18: 1 and 18, 2 and 9, 3 and 6.... USE: 2 and 9

Factors of 300: 1 and 300, 2 and 150, 3 and 100, 4 and 75, 5 and 60, 10 and 30, 12 and 25, 15 and 20...... USE: 3 and 100

Factors of 75: 1 and 75, 3 and 25, 5 and 15..... USE 3 and 25

√(9x2) + √(100x3) - √(25x3)

3√2 + 10√3 - 5√3

3√2 + (10-5)√3

3√2 + 5√3

can't simplify further

if you want exact value, plug into calculator

18 = 2x9

300 =3x100

75 =3x25

Therefore:

√18+√300-√75

=√(2)√9 +√3.√100 -√3√25

=3√2 + 10√3 -5√3

=3√2 + 5√3

I think you would add and subtract them like variables for example, 2x+3x-x=4x