The correct ordering of the numbers a = \sqrt { 5 } , b = ∛ { 7 } , c = ∜ { 8 } is

TS ICET 2017 Question Paper with Solutions for online practice

Question : 88 of 200

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The correct ordering of the numbers

a = √ { 5 } , b = ∛ { 7 } , c = ∜ { 8 }

Solution:

LCM (2, 3, 4) = 12

a=5^{1/2}=(5^{6})^{1/12}

b=7^{1/3}=(7^{4})^{1/12}

c=8^{1/4}=(8^{3})^{1/12}

Now ,

5^6=15625

7^4=2401

8^3=514

∴c < b < a

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