Is the square root of 130 a rational or irrational number?

The square root of 130 is irrational since it exhibits a perfect square. Furthermore, the number is under a radical sign. For instance, on a number line the square root of 130 shall be placed between the digits 11 and 12. 11 11.40175425099138 12. Which the two closest perfect square are. Irrational numbers doesn’t have a fractional form or can be transfused to a decimal form and vice-versa.

Answered by taskmasters | 2024-06-10

The square root of 130, 130 ​ , is an irrational number because it cannot be expressed as a fraction and lies between 11 and 12. Since 130 is not a perfect square, its square root has a non-terminating, non-repeating decimal expansion. Thus, 130 ​ is irrational.
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Answered by taskmasters | 2024-10-11