Question

Arrange in ascending order Root 2, 3 root 3, 4 root 5

Answer 1

Answer:

root2,cube root3,4throot5

Step-by-step explanation:

root2 can be written as 2^1/2

cube root 3 can be written as 3^1/3

similarly,4th root 5 can be written as 5^1/4

now we should make powers equal that is multiply and divide

with their LCM-

2^1/2*6/6

3^1/3*4/4

5^1/4*3/3

=2^6/12,3^4/12,5^3/12

=(2^6)^1/12,(3^4)^1/12,(5^3)^1/12

=64^1/12<81^1/12<125^1/12

=root2<cube root 3<4th root 5