find the squre root of the smallest number divisble by 6,8_15
Answers
Answer:
Let's have a look at the prime factors of these numbers.
6 = 2*3
8 = 2*2*2
15 = 5*3
So any number divisible by these three has to have 2,2,2,3 and 5 as Prime factors. The smallest would be the product of these factors, i.e. 120. However, 120 is not a square.
Now to be a square number, N must have each prime factor occurring an even number of times. So we need another 3 and another 5 as factors. We also need another 2.
So the answer is 2^4 * 3^2 * 5^2 = 3,600.
The square root of 3,600 is 60.
Step-by-step explanation:
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Answer:
hyyy mate
here is your answer.
Step-by-step explanation:
Let's have a look at the prime factor of this number.
6= 2*3
8= 2*2*2
15= 5*3.
so any number divisible by these three has to have 2,2,2,3and 5 as prime factor the smallest would be the product of these factors i.e 120 However 120 is not a square.
Now to be square number N must have each prime factor occurring an even number of times so we need another 3 and another 5 as factor we also need another 2.
so the answer is 2^4*3^2*5^2= 3,600
the square root of 3,600 is 60
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