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(a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation assertion (A).(b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation ofassertion (A).(c)Assertion (A) is true but reason (R) is false.(d)Assertion (A) is false but reason (R) is true.7. Assertion : Sum of two irrational numbers 2 + √3 and 4 + √3 is irrational number.Reason : Sum of two irrational numbers is always an irrational numbe

Question

(a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation assertion (A).(b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation ofassertion (A).(c)Assertion (A) is true but reason (R) is false.(d)Assertion (A) is false but reason (R) is true.7. Assertion : Sum of two irrational numbers 2 + √3 and 4 + √3 is irrational number.Reason : Sum of two irrational numbers is always an irrational numbe

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Solution

The answer is (c) Assertion (A) is true but reason (R) is false.

Here's why:

The assertion is true. The sum of the two irrational numbers 2 + √3 and 4 + √3 is indeed an irrational number. When you add these two numbers together, you get 6 + 2√3, which is an irrational number.

However, the reason is false. The sum of two irrational numbers is not always an irrational number. For example, the sum of √2 and -√2 is 0, which is a rational number. Therefore, it's not correct to say that the sum of two irrational numbers is always an irrational number.

This problem has been solved

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