Question

√50 + √18 - √8 b)4√63-√7 c)5⁵√3+2⁵√3-2⁵√3+⁵√3 d)2√27-5√12 e)√12+√75+√108

Answer 1

a) √50 + √18 - √8 =

√2.5.5 + √2.3.3 - √2.2.2 =
√5².2 + √3².2 - √2².2 =
5√2 + 3√2 - 2√2 =
√2(5 + 3 - 2) = 6√2

b)4√63-√7 =
   4√3.3.7 - √7 =
  4√3².7 - √7 =
  4.3√7 -√7 =
 √7(12 - 1) = 11√7

c)5⁵√3+2⁵√3-2⁵√3+⁵√3 =
  ⁵√3(5 + 2 - 2 + 1) = 6⁵√3

d)2√27-5√12 =
   2√3.3.3 - 5√2.2.3 =
  2√3².3 - 5√2².3 =
  2.3√3 - 5.2√3 =
  6√3 - 10√3 =
  √3(6 - 10) = -4√3

e)√12+√75+√108
   √2.2.3 + √3.5.5 + √2.2.3.3.3 =
  √2².3 + √5².3 + √2².3².3 =
  2√3 + 5√3 + 2.3√3 =
 √3(2 + 5 + 6) = 13√3