Question

1>FIND THE PYTHAGOREAN TRIPLET WHOSE SMALLEST MEMBER IS 12.

2>FIND THE CUBE ROOT OF -125 DIVIDED BY 512

3>FINDTHE CUBE ROOT OF  64X729

Answer 1

1) Here,lets take n = 12
For finding the 1st number
= n² + 1 
= 6² + 1
= 37
Then,the second
= n² - 1
= 6² - 1
= 35
The pythagorean triplet is 12,35,37
2) $-125$
       $512$
= $-5^{3}$
      $2^{9}$
= $-5^{3}$ 
     $(2^{3})^{3}$
= $-5$   (cube root of -5³ /(2³)³)
      $2^{3}$
= $-5$
      $8$
3) $64 * 729$
= $4^{3} * 9^{3}$
= $36^{3}$
= ∛$36^{3}$
= $36$