Question

i m unable to identify my mistake
tell me. where i m doing wrong
^_^
give me a brief explanation
^_^irrelevant ans will be reported

Answer 1

$(x \times y) ^{2} = x {}^{2} + 2xy + y {}^{2}$
see here x=root 2 a andy=root 3 b..
you have written correct answer till the 2nd stage but at the final step you have done mistake in taking the value of x and y.
hope my answer helped you.

Answer 2

Hello Madam☺️

Here Is Your Answer☺️

As We Know,,,

(A+B)^2=(A)^2+2.A.B+B^2

So, Think Clearly,

(√2a)^2=(A)^2

And,

(√3b)^2=(B)^2

If You Compare ,,

(A)^2+2.A.B+B^2 & (√2a)^2+2×√2a×√3b×(3b)^2

You Will Get, (√2a+√3b)^2

There Are No Calculation Like,

(√2a)^2=2a^2

Because Comparing Them,

(√2a)^2=(A)^2

Hope Your Doubt Cleared☺️✌️

Have a Great Day Ahead