Question

The simplified value of √3-√2√12-√18 - 13 × √27 - 12 x 3√27 is closest to

A) (√3 - 1) B) (1 - √3) C) - (-√3 - 1) D) - (√3 + 1)

Answer 1

Given:

√3 - √2√12 - √18 - 13 × √27 - 12 x 3√27

To find:

The simplified value of √3 - √2√12 - √18 - 13 × √27 - 12 x 3√27 is closest to

Solution:

From given, we have,

√3 - √2√12 - √18 - 13 × √27 - 12 × 3√27

= √3 - √2 √(4 × 3) - √(9 × 2) - 13 × √(9 × 3) - 12 × 3 × √(9 × 3)

= √3 - √2 × 2√3 - 3√2 - 13 × 3√3 - 12 × 3 × 3√3

= √3 - 2√6 - 3√2 - 39√3 - 108√3

= (1 - 39 - 108) √3 - 2√6 - 3√2

= - 146√3 - 2√6 - 3√2

∴ √3 - √2√12 - √18 - 13 × √27 - 12 × 3√27 = - 146√3 - 2√6 - 3√2

Therefore, none of the options is correct.