1.

(√2 + √3)2 is a?1. Rational number2. Irrational number3. Complex Number4. Integer

Answer» Correct Answer - Option 2 : Irrational number

Given:

(√2 + √3)2 we have to find the types of the number

Formula Used:

(a + b)2 = a2 + 2ab + b2

Calculation:

(√2 + √3)2

⇒ (√2)2 + 2 × √2 × √3 + (√3)2

⇒ 2 + 2√6 + 3

⇒ 5 + 2√6

√6 is an irrational number, so, (5 + 2√6) is also a irrational number.

∴ The given number is an Irrational number.



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