Question

12√18-6√20-3√50+8√45 simplify

Answer 1

Q. --> 12√ 18-6√ 20-3√ 50+8√ 45

1. 12√ 18 = 12*3√ 2                      (√ 18 = 3√ 2)

          = 36√ 2

2. 6√ 20 = 6*2√ 5                       (√ 20=2√ 5)    

              = 12√ 5

3. 3√ 50 = 3*5√ 2                       (√ 50=5√ 2)

              = 15√ 2

4. 8√ 45 = 8*3√ 5                       (√ 45=3√ 5)

              = 24√ 5

Now,

According to question

      = 12√ 18-6√ 20-3√ 50+8√ 45

      =  36√ 2-(12√ 5)-(15√ 2)+(24√ 5)

      = 36√ 2-15√ 2+24√ 5-12√ 5

      = 18√2+12√5

      = 6(3√2+2√5)

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