Smallest rational number bye which √18 should be multiplied so as to get a rational number.
Answers
Answer:
root 2 should be multiplied. .
so that it will become root 36
and it will give 6 as rational no...
hope it helps..
Answer:
The final answer is 2.
Step-by-step explanation:
We need to find the smallest number which can be multiplied √18 to get a perfect number. We do this by multiplying the the number √18 with other number until we get a number from which we can take the square root of.
There are two ways to do this problem
1) By trial and error
We multiply 18 with each number starting from one to get a perfect square.
18 * 1 = 18 Not a perfect square.
18 * 2 = 36, Perfect square
Hence two is the answer.
2) By finding the factors
We simply find the factors of 18 and make each factor have a pair and the number which we multiply to make a pair is the smallest rational number
18 = 2 * 3 * 3, 2 is the only number without a pair and we multiply 2 to it to get a pair. Hence 2 is the smallest rational number required.
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