Mathematics
Grade10
Easy
Question
Rewrite the expression
by using product property.
Hint:
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
The correct answer is: ![2 square root of 37](data:image/png;base64,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)
We have to rewrite the expression √148.
We have, √148 = √(2×2×37) = 2√37.
Hence, the correct option is B.
The square root of a non perfect square number is always an irrational number.