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What is known about (a^2) from (a^2=2b^2)?
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Answer and explanation
Correct answer: even
In \(a^2=2b^2\), \(a^2\) is 2 multiplied by the integer \(b^2\). Hence \(a^2\) is divisible by 2, so it is even. The relation does not necessarily show that \(a^2\) is prime or zero. Exam tip: A number expressible as \(2\times\text{an integer}\) is even.
Frequently asked questions
What is the correct answer to this question?
even
Why is this the correct answer?
In \(a^2=2b^2\), \(a^2\) is 2 multiplied by the integer \(b^2\). Hence \(a^2\) is divisible by 2, so it is even. The relation does not necessarily show that \(a^2\) is prime or zero. Exam tip: A number expressible as \(2\times\text{an integer}\) is even.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Proof of irrationality of square root 2 and square root 3.
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