Question

Simplify 81^1/4 -8(216)^1/3+15(32)^1/5+ root of 225

Answer 1

GIVEN
81^1/4 - 8(216)^1/3 + 15(32)^1/5 + root of 225
$= \sqrt[4]{81} - 8( \sqrt[3]{216} ) \\ + 15( \sqrt[5]{32} + \sqrt{225} \\ = \sqrt[4]{3 \times 3 \times 3 \times 3} - 8( \sqrt[3]{6 \times 6 \times 6} \\ 15( \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} + \sqrt{3 \times 3 \times 5 \times 5} \\ = 3 - 8(6) + 15(2) + 15 \\ = 3 - 48 + 30 + 15 \\ = 48 - 48 \\ = 0$

Answer 2

Answer:

=⁴√81-8(³√216)+15(⁵√32)+√225

=(⁴√3×3×3×3)-8(³√6×6×6)+15(⁵√2×2×2×2×2)+(√15×15)

=3-8(6)+15(2)+15

=3-48+30+15

=-45+45

=0