LaughlinX177227 LaughlinX177227

03-11-2022
Mathematics

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19Which of the following shows that the sum of two irrational numbers can be rational?OA 1 / + v5OB. + 1OC. V2 + V2OD. (2 + v5) + (2 – V5)

19Which of the following shows that the sum of two irrational numbers can be rationalOA 1 v5OB 1OC V2 V2OD 2 v5 2 V5 class=

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JalenaN432996 JalenaN432996

03-11-2022

The alternatives A, B and C results in irrational numbers. The only one that results in a rational number is D:

[tex](2+\sqrt[]{5})+(2-\sqrt[]{5})=2+2+\sqrt[]{5}-\sqrt[]{5}=4+0=4[/tex]

So, the alternative is D.

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