Question

Write in descending order: 2^(1/2) , 4^(1/3), 3^(1/4)​

Answer 1

Answer:

4(1/3), 2(1/2),3(1/4)

Step-by-step explanation:

2^1/2 equals the root of 2 and equals 1.4…

4^(1/3) equals 1.6

3^(1/4) equals 1.3

Answer 2

Answer:

• See below

Step-by-step explanation:

We cant equalize the bases but we can make the powers same.

It will let us estimate better:

• $2^{1/2} = (2^6)^{1/12} = 64^{1/12}$
• $4^{1/3}=(4^4)^{1/12} = 256^{1/12}$
• $3^{1/4}=(3^3)^{1/12}= 27^{1/12}$

Now it is easy to compare, the smaller the base the smaller the number:

• $27^{1/12}<64^{1/12}<256^{1/12}$ or
• $3^{1/4}<2^{1/2}<4^{1/3}$