Asked by Zubair ahmad
The largest 4 digit number which is exactly divisible by 18, 25 and 35. Find the smallest number by which 1008 must be. multiplied to get a perfect square. Also find the square root of square so obtained. 1225 plants are to be planted in a garden is such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.
Answers
Answered by
Reiny
18 = 2*3*3
25 = 5*5
35 = 5*7
LCM = 2*3*3*5*5*7 = 3150
how about 3150k < 9999
k < 3.1
so largest 4 digit with above properties is 3*3150 = 9450
test it with your calculator.
1008 = 2*2*2*2*3*3*7
= 16 * 9 * 7
the first two factors are perfect square, so to make the last factor a perfect square, we have to multiply by 7
so 1008*7 = 7056
check: √7056 = 84
take a run at the last one, let me know what you think.
25 = 5*5
35 = 5*7
LCM = 2*3*3*5*5*7 = 3150
how about 3150k < 9999
k < 3.1
so largest 4 digit with above properties is 3*3150 = 9450
test it with your calculator.
1008 = 2*2*2*2*3*3*7
= 16 * 9 * 7
the first two factors are perfect square, so to make the last factor a perfect square, we have to multiply by 7
so 1008*7 = 7056
check: √7056 = 84
take a run at the last one, let me know what you think.
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