Question

3)Check if { 2/3⎼ (⎼4/5 )} ⎼1/2 =2/3 ⎼ {(⎼4/3 ) ⎼1/2 }​

Answer 1

Answer:

{ 2/3⎼ (⎼4/5 )} ⎼1/2 ≠ 2/3 ⎼ {(⎼4/3 ) ⎼1/2 }​

Step-by-step explanation:

{ 2/3⎼ (⎼4/5 )} ⎼1/2 = 2/3 ⎼ {(⎼4/3 ) ⎼1/2 }​

Here, let us take the left-hand side of the problem first.

The provided problem will be solved using BODMAS = Brackets; Of; Divison; Multiplication; Addition and Subtraction

L. H. S.

⇒ { 2/3⎼ (⎼4/5 )} ⎼1/2

⇒ { 2/3 + 4/5 } - 1/2

⇒ 22/15 - 1/2

⇒ 29/30

Let's solve the right-hand side of the problem.

R. H. S.

2/3 ⎼ {(⎼4/3 ) ⎼1/2 }​

⇒ 2/3 - {-4/3 - 1/2 }

⇒ 2/3 - { -11/6 }

⇒ 2/3 + 11/6

⇒ 5/2

Here the L.H.S. ≠ R.H.S.

{ 2/3⎼ (⎼4/5 )} ⎼1/2 ≠ 2/3 ⎼ {(⎼4/3 ) ⎼1/2 }​