model 1 find largest and smallest value Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (d)

$√^2{8}, √^4{13}, √^5{16}, √^10{41}$

LCM of 2, 4, 5 and 10 = 20

$√^2{8}=√^20{8^10}; √^4{13}=√^20{13^5}$

$√^5{16}=√^20{16^4}; √^10{41}=√^20{41^2}$

Clearly, $√^2{8}$ is the largest.

Answer: (c)

$2^250=(2^5)^50=(32)^50$

$3^150=(3^3)^50=(27)^50$

$5^100=(5^2)^50=(25)^50$

$4^200=(4^4)^50=(256)^50$

∴ The smallest number =$(5)^100$

Answer: (a)

$(0.5)^2, √{0.49}, √^3{0.008}, 0.23$

$(0.5)^2$=0.25

$√{0.49}$=0.7

$√^3{0.008}$=0.2

0.23 = 0.23

∴ $√{0.49}>(0.5)^2>0.23>√^3{0.008}$