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Shirshendu Deb Roy

· started a discussion

· 1 Months ago

what is this? (Question: 226607.0 )

what is this?

Question:

Find the smallest among $\sqrt[18]{12}$ , $\sqrt[9]{4}$ , $\sqrt[12]{5}$ and $\sqrt[6]{3}$ .

Options:

A)

$\sqrt[18]{12}$

B)

$\sqrt[9]{4}$

C)

$\sqrt[12]{5}$

D)

$\sqrt[6]{3}$

Solution:

Ans: (c) $\sqrt[18]{12}$ = 12^1/18 = 12^2/36 = (12²)^1/36 = 144^1/36

$\sqrt[9]{4}$ = 4^1/9 = 4^4/36 = (4⁴)^1/36 = 256^1/36

$\sqrt[12]{5}$ = 5^1/12 = 5^3/36 = (5³)^1/36 = 125^1/36

$\sqrt[6]{3}$ = 3^1/6 = 3^6/36 = (3⁶)^1/36 = 729^1/36

Smallest number = 125^1/36 = $\sqrt[12]{5}$

For Video Solution Click on the link given below:

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
You need to find the smallest one from the given numbers, you match video solutions.
Keep Learning with Us
Best Wishes.
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