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State if the number

is an integer, rational, irrational, or not a real number,
irrational
not a real number
rational
integer

State if the number is an integer, rational, irrational, or not a real number, irrational-example-1

1 Answer

4 votes

Answer:

√43/8 can not be a rational number. Because the numerator of the fraction is not an integer.

Therefore, option C i.e. irrational is correct.

Explanation:

What is a rational number?

We know that a rational is a number that can be expressed in the form of a fraction p/q of two integers p and q.

Where

  • p is a numerator
  • q is a non-zero denominator

Given the number

√43/8

here

  • The denominator 8 is an integer but the nominator √43 is not an integer.

So,

√43/8 can not be a rational number. Because the numerator of the fraction is not an integer.

Therefore, option C i.e. irrational is correct.

User Anurag Deokar
by
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