arrange in descending order 3√2,3√3 and 3√4 with step by step explaination.
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The given numbers in descending order are 3√4>3√3>3√2
Step-by-step explanation:
Given surds are
3√2,3√3 and 3√4
To find,
We need to arrange the given surds in descending order
Solution:
We have the surds 3√2,3√3 and 3√4
Since 2<3<4,
Taking square root throughout we get
√2<√3 <√4
This inequality remains unchanged if we multiply throughout by a positive number
Hence multiply throughout by 3 we get
3√2<3√3 <3√4
Since descending order is arranging the numbers from biggest to smallest, we have
The given numbers in descending order are 3√4>3√3>3√2
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