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If (a=\sqrt{2}+\sqrt{5}), what will be the nature of (a^2)?
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Answer and explanation
Correct answer: Irrational
Step 1: ((\sqrt{2}+\sqrt{5})^2=2+5+2\sqrt{10}). Step 2: This is (7+2\sqrt{10}), which has an irrational part. Step 3: When squaring a sum of two different surds, pay attention to the middle term.
Frequently asked questions
What is the correct answer to this question?
Irrational
Why is this the correct answer?
Step 1: ((\sqrt{2}+\sqrt{5})^2=2+5+2\sqrt{10}). Step 2: This is (7+2\sqrt{10}), which has an irrational part. Step 3: When squaring a sum of two different surds, pay attention to the middle term.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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