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xxTIMURxx [149]
3 years ago
5

Is is square root of 1.6875 a rational number

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

<em><u>Question:</u></em>

Is square root of 1.6875 a rational number ?

<em><u>Answer:</u></em>

Square root of 1.6875 a rational number is not a rational number

<em><u>Solution:</u></em>

Given that we have to find square root of 1.6875 and determine if it is rational number or not

Let us first find square root of 1.6875

\sqrt{1.6875} = 1.29903810568

Let us understand about rational number

A rational number is a number that can be expressed as a fraction (ratio) in the form \frac{p}{q} where p and q are integers and q is not zero.

When a rational number fraction is divided to form a decimal value,  it becomes a terminating or repeating decimal.

So the number 1.29903810568 is not a rational number

<em><u>In other words we can say,</u></em>

Only the square roots of square numbers are rational. Here 1.6875 is not a perfect square. So it is not rational number

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