How do you describe the principal square root of the 34? *

A. The square root of 34 is a rational number.
B. The square root of 34 is an irrational number.
C. The square root of 34 is not defined.
D. The square root of 34 can be a positive or negative number.

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Answer:

B. The square root of 34 is an irrational number.

Step-by-step explanation:

The square root of 34 is a rational number if 34 is a perfect square.

Since 34 is not a perfect square, it is an irrational number.

Since the square root of 34 is not a perfect square, hence, the square root of 34 is an irrational number: Option B is correct.

Irrational numbers are numbers that cannot be written as a ratio of two integers.

  • Examples of irrational numbers are surd functions, euler's number, pi value.

  • Most terminated decimals are also irrational numbers.

Since the square root of 34 is not a perfect square, hence, the square root of 34 is an irrational number.

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