Math, asked by aji22, 1 year ago

(√32-√5)1/3(√32+√5)1/3​

Answers

Answered by Agastya0606
5

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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