(√32-√5)1/3(√32+√5)1/3
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Given: The term (√32-√5)^1/3 x (√32+√5)^1/3
To find: The product of the above term
Solution:
- So we have provided with the term:
(√32-√5)^1/3 x (√32+√5)^1/3
- Now by using the formula: a^m x b^m = (ab)^m
- So applying this formula, we get:
{ (√32-√5) x (√32+√5) }^1/3
- Now by using the formula: (a - b)(a + b) = a^2 - b^2
- So applying this formula, we get:
{ (√32)²-(√5)² }^1/3
- Now solving this we get:
{ 32 - 5 }^1/3
{ 27 }^1/3
- Now cubic root of 27 is 3, so:
{ 3^3 }^1/3 = 3
Answer:
So the product of (√32-√5)^1/3 x (√32+√5)^1/3 is 3.
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