Misbah (Question: 226607.0 )

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mohammad misbah

· started a discussion

· 1 Months ago

Misbah (Question: 226607.0 )

D is the ri8 option

Question:

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

Options:

$\sqrt[18]{12}$

$\sqrt[9]{4}$

$\sqrt[12]{5}$

$\sqrt[6]{3}$

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,
The answer you pointed is the largest one, but you need to find the smallest one.Please watch video solution for live explanation.
Keep Learning with Us
Best Wishes.
Team Toprankers

Vaibhav Taneja

· commented

· 1 Months ago

D is the largest one. We have to find the smallest

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Misbah (Question: 226607.0 )

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