Determine the smallest possible number p such that 10500p is a perfect square
3 answers
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10500 = 2^2 3 5^3 7
so, to get all even powers, multiply by 3*5*7 = 105
10500 * 105 = ____
so, to get all even powers, multiply by 3*5*7 = 105
10500 * 105 = ____
Express 10500 as a product of its prime factors
10500= 2×2×3×5×5×5×7
=2^2×3×5^3×7
since we need a perfect square, the numbers 3, 5^3 and 7 don't satisfy the condition.
the missing numbers are 3, 5 and 7
p=3×5×7
p=105
10500= 2×2×3×5×5×5×7
=2^2×3×5^3×7
since we need a perfect square, the numbers 3, 5^3 and 7 don't satisfy the condition.
the missing numbers are 3, 5 and 7
p=3×5×7
p=105