Question

Write the following in the descending order of magnitude: √3, √4, √6

Answer 1

Hi friend, Here is the required answer:-

8√90= 8√ 3×3×5×2= 8×3√10= 24√10= 75.89

4√10= 12.64

√6= 2.44

So, the descending order is 8√90> 4√10>√6.

Answer 2

Answer:

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Step-by-step explanation:

$= > \sqrt{3} = {3}^{ \frac{1}{2} } \\ = > \sqrt{4} = {4}^{ \frac{1}{2} } \\ = > \sqrt{6} = {6}^{ \frac{1}{2} } \\ = > all \: the \: powers \: of \: the \: surds \\ \: are \: the \: same \: so$

so the descending order of the following in order of magnitude are

$\sqrt{6} > \sqrt{4} > \sqrt{3}$