Factorise 3 + 2√2 whole square + 3 + 2 root 2 into 3 minus 2 root 2 + 3 - 2√2 whole square?

Question

Answer

Factorization of 3 + 2√2 whole square + 3 + 2√2

To factorize the given expression into the form of 3 - 2√2 whole square, we need to follow the steps below:

Step 1: Rewrite the given expression as (3 + 2√2) + (3 + 2√2).
Step 2: Group the terms with like radicals together, which gives us 2(3 + 2√2).
Step 3: Factor out the common factor of 2 from the expression, resulting in 2(3 + √2).
Step 4: Rewrite the expression as 2(3 + √2) = 2(3 - √2) to match the desired form.
Step 5: Finally, simplify the expression to get the factorized form as 3 - 2√2 + 3 - 2√2.