Question

Arrange the following in descending order of magnitude : 8√90,4√10,√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.

Hope this helps you...

Answer 2

The descending order of magnitudes is:  $\sqrt{6} ; \sqrt[4]{10} ; \sqrt[8]{90}$

Step-by-step explanation:

The descending order is arrangement of number in decreasing order.

Let us take first number,

$\sqrt[8]{90}=90^{1 / 8}$

The value of the above number is,

$\Rightarrow \sqrt[8]{90}=1.75$

Let us take second number,

$\sqrt[4]{10}=10^{1 / 4}$

The value of the above number is,

$\Rightarrow \sqrt[4]{10}=1.77$

Let us take third number,

$\sqrt{6}=6^{1 / 2}$

The value of the above number is,

$\Rightarrow \sqrt{6}=2.44$

Now considering, the values of the number and arranging it in descending order, we get,

$2.44, 1.77, 1.75$

Now, we can arrange the given number in descending order, we get,

$\sqrt{6} ; \sqrt[4]{10} ; \sqrt[8]{90}$