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If (x) is exactly midway between ( \sqrt{2} ) and ( \sqrt{8} ) on the number line, what is the value of (x)?

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Answer and explanation

Correct answer: ( \frac{3\sqrt{2}}{2} )

The midpoint is ( \frac{\sqrt{2}+\sqrt{8}}{2}=\frac{\sqrt{2}+2\sqrt{2}}{2}=\frac{3\sqrt{2}}{2} ). Take the average of the two values for the midpoint.

Related tags

Number-LineMidpointRadicals

Frequently asked questions

What is the correct answer to this question?

( \frac{3\sqrt{2}}{2} )

Why is this the correct answer?

The midpoint is ( \frac{\sqrt{2}+\sqrt{8}}{2}=\frac{\sqrt{2}+2\sqrt{2}}{2}=\frac{3\sqrt{2}}{2} ). Take the average of the two values for the midpoint.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.

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