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What is 128 in exponential form with 2 or 3 as the exponent?
128 is neither a perfect square nor a perfect cube, it is 2⁷ (2 to the 7th power).
Is 2 a perfect square?
To be a perfect square, a number must have a square root that evaluates to an integer. The square root of 2 is approximately equal to 1.414, thus it is not a perfect square.
Is every rational number a perfect square?
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
What is the smallest positive integer that 248832 can be multiplied by in order for the product to be a perfect square?
The prime factorisation of 248832 is 2¹⁰ × 3⁵ Every perfect square number has a prime factorisation where each prime is to an even power. 2 has an even power 3 has an odd power, so need an extra power → multiple 248832 by 3 which gets (2⁵ × 3³)²
Why is one a perfect square?
Because anything times itself equals a perfect square and is considered that taking the square root of a perfect square (non negative numbers) which end result does not involve fractions but whole numbers is a perfect square. 1 x 1 = 1 sq.root(1) = 1 2 x 2 = 4 (Perfect square) sq.root(4) = 2
