Question

if a=3^1/2 and b=1^1/4 then prove that a+b=b+a

Answer 1

Step-by-step explanation:

Given :-

a=3^1/2 and b=1^1/4

To find :-

Prove that a+b=b+a .

Solution :-

Given that

a = 3^1/2

b = 1^1/4

Now

On taking LHS

= a+b

=> (3^1/2) + (1^1/4)

=> √3 + √(√1)

=> √3+√1

=> √3 + 1 ------------------(1)

and

On taking RHS

= b+a

=> (1^1/4)+(3^1/2)

=>√(√1) +√3

=> √ 1 +√3

=> 1 + √3

=> √3+1 ------------------(2)

From (1) & (2)

LHS = RHS

a+b = b+a

Hence, Proved.

Answer:-

a+b = b+a is true for the given problem.

Used formulae:-

If a and b are two real numbers then a+b = b+a is called Commutative property under addition.