The statement "The square root of every composite number is rational" is false.

To justify this, let's first understand what rational and irrational numbers are. A rational number is a number that can be expressed as a fraction a/b where a and b are integers and b ≠ 0. An irrational number cannot be expressed as a simple fraction, and its decimal goes on forever without repeating.

Now, let's consider a composite number, say 8. The square root of 8 is approximately 2.83, which is not a rational number because it cannot be expressed as a simple fraction. Therefore, the statement is false because not all composite numbers have rational square roots.

However, it's important to note that some composite numbers do have rational square roots. For example, the square root of 4 is 2, which is a rational number. But the statement is false because it's not true for every composite number.

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The statement "The square root of every composite number is rational" is false.

To justify this, let's first understand what rational and irrational numbers are. A rational number is a number that can be expressed as a fraction a/b where a and b are integers and b ≠ 0. An irrational number cannot be expressed as a simple fraction, and its decimal goes on forever without repeating.

Now, let's consider a composite number, say 8. The square root of 8 is approximately 2.83, which is not a rational number because it cannot be expressed as a simple fraction. Therefore, the statement is false because not all composite numbers have rational square roots.

However, it's important to note that some composite numbers do have rational square roots. For example, the square root of 4 is 2, which is a rational number. But the statement is false because it's not true for every composite number.

Knowee AI · Accepted Answer

The statement "The square root of every composite number is rational" is false.

To justify this, let's first understand what rational and irrational numbers are. A rational number is a number that can be expressed as a fraction a/b where a and b are integers and b ≠ 0. An irrational number cannot be expressed as a simple fraction, and its decimal goes on forever without repeating.

Now, let's consider a composite number, say 8. The square root of 8 is approximately 2.83, which is not a rational number because it cannot be expressed as a simple fraction. Therefore, the statement is false because not all composite numbers have rational square roots.

However, it's important to note that some composite numbers do have rational square roots. For example, the square root of 4 is 2, which is a rational number. But the statement is false because it's not true for every composite number.

Check whether the statement below is true or false.“The square root of every composite number is rational.”Justify your answer by proving rationality or irrationality as applicable

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