MilesLovat
MilesLovat MilesLovat
  • 08-10-2021
  • Mathematics
contestada

solve 7 √ 3 + 2 √ 9 and explain whether the answer is rational or irrational​

solve 7 3 2 9 and explain whether the answer is rational or irrational class=

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je0njungkook
je0njungkook je0njungkook
  • 08-10-2021

Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

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