Question

Classify (3+√27)-(√12+√3) as rational or irrational

Answer 1

Answer:

hiiii mate,

this is an irrational number.

this is clear in picture.

here 2√3 is an irrational number.

Step-by-step explanation:

hope this helps you....✌️✌️✌️

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Answer 2

★ Answer :

As we have to classify that (3 + √27) - (√12 + √3) is a rational number or irrational number.

So,

$\tt{\implies (3 + \sqrt{3 \times 3 \times 3}) - ( \sqrt{2 \times 2 \times 3} + \sqrt{3})} \\ \\ \tt{\implies (3 + 3\sqrt{3}) - ( 2\sqrt{3} + \sqrt{3})} \\ \\ \tt{\implies 3 + 3 \sqrt{3} - 2 \sqrt{3} - \sqrt{3}} \\ \\ \tt{\implies 3 + \cancel{3 \sqrt{3}} \cancel{- 3\sqrt{3}}} \\ \\ \tt{\implies 3}$

Hence, it is a rational number because irrational numbers are terminating numbers whereas 3 is not a terminating number (irrational number).