find the smallest number by which 27783 be multiplied to get a perfect square number
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Answered by
21
27783 = 9* 3087 = 9*9* 343 = 9*9*7*49
Hence we can see that we have 9*9 or 81, 49 which are perfect squares.
So if we multiply '7' to the number we get a perfect sqaure number
27783*7 = 9*9*7*7*49
Hence '7' is the smallest number that should be multiplied.
Hope it helps.
Hence we can see that we have 9*9 or 81, 49 which are perfect squares.
So if we multiply '7' to the number we get a perfect sqaure number
27783*7 = 9*9*7*7*49
Hence '7' is the smallest number that should be multiplied.
Hope it helps.
Answered by
24
Number given = 27783
By prime factorisation, we have - (3 × 3) × (3 × 3) × (7 × 7) × 7
Here, 7 is left ungrouped
Thus 27783 × 7 = 194481 which is a perfect square number.
& √194481 = 441
∴The smallest number by which 27783 be multiplied to get a perfect square number is 7
By prime factorisation, we have - (3 × 3) × (3 × 3) × (7 × 7) × 7
Here, 7 is left ungrouped
Thus 27783 × 7 = 194481 which is a perfect square number.
& √194481 = 441
∴The smallest number by which 27783 be multiplied to get a perfect square number is 7
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