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: ![3 square root of 5](data:image/png;base64,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)
We have to rewrite √45 into a different expression.
We have, √45 = √(3×3×5) = 3√5.
Hence, the correct option is A.
The square root of a non perfect square number is an irrational number.