Question

Q.13 TO Q.16
CORRECT ANS WOULD BE MARKED AS BRAINLIEST

Answer 1

Answer:

a) (243)¹/³ or (3)⁴/³ or (³√3)⁴

b) 10 + 2√21

c)16-12 = 4

d)60+ 4√21 + 15√21 + 21 = 81 + 19√21

e)20+12√10 + 18 = 38 + 12√10

Answer 2

a) 3√9 b) 10+2√21 c) 4 d) 81+19√21. e)38+12√10

a). (9)^1/3×(27)^1/3

=(9×27)^1/3

=(3×3×3×3×3)^1/3

=3(3×3)^1/3

=3(9)^1/3

b). (√7+√3)^2

=(√7)^2+(√3)^2+2×√7×√3

=7+3+2√21

=10+2√21

c). (4+2√3)(4-2√3)

=(4)^2-(2√3)^2

=16-12

=4

d). (5√3+√7)(4√3+3√7)

=(5√3×4√3)+(5√3×3√7)+(√7×4√3)+(√7×3√7)

=60+15√21+4√21+21

=81+19√21

e). (2√5+3√2)^2

=(2√5)^2+ (3√2)^2+2×2√5×3√2

=20+18+12√10

=38+12√10