Simplify 4th root of 81-8.3rd root of 216+15.5th root of 32+ root 225
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Hi ,
i ) 4th root of 81 = (81)^1/4 =(3⁴)^1/4 = 3
ii ) 3rd root of 216 = ( 216 )^1/3 = (6³)^1/3 = 6
iii ) 5th root of 32 = (32)^1/5 = (2^5)^1/5 = 2
iv ) √225 = √( 15 × 15 ) = 15
NOW ,
4th root of 81 - 8×3rd root of 216 + 15× 5th root
of 32 + √225
= 3 - 8 × 6 + 15 × 2 + 15
= 3 - 48 + 30 + 15
= 48 - 48
= 0
I hope this helps you.
: )
i ) 4th root of 81 = (81)^1/4 =(3⁴)^1/4 = 3
ii ) 3rd root of 216 = ( 216 )^1/3 = (6³)^1/3 = 6
iii ) 5th root of 32 = (32)^1/5 = (2^5)^1/5 = 2
iv ) √225 = √( 15 × 15 ) = 15
NOW ,
4th root of 81 - 8×3rd root of 216 + 15× 5th root
of 32 + √225
= 3 - 8 × 6 + 15 × 2 + 15
= 3 - 48 + 30 + 15
= 48 - 48
= 0
I hope this helps you.
: )
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