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Question 204 of 227

Q.Write the truth values of the following statements:
i. 2 is a rational number and 2\sqrt{2} is an irrational number.
ii. 2+3=52 + 3 = 5 or 2+3=5\sqrt{2} + \sqrt{3} = \sqrt{5}

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2019Subjective· 2mImportance★★★★★
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Evaluate each simple statement, then apply the conjunction/disjunction truth rule.

i. "2 is a rational number and 2\sqrt2 is an irrational number."

"2 is rational" is TRUE, "2\sqrt2 is irrational" is TRUE. A conjunction of two true statements is TRUE.

⇒\Rightarrow Truth value: TRUE

ii. "2+3=52+3=5 or 2+3=5\sqrt2+\sqrt3=\sqrt5" …

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