Question

Express 2x^2 +1/2 as the sum of two squares.​

Answer 1

Answer:

(x√2)² + (1/√2)²

Step-by-step explanation:

We must,

Express 2x² + (1/2) as sums of 2 squares.

Now,

We know that,

No more extra multiplication or addition has to done.

Now, we know that,

2 = √2 × √2 = (√2)²

x² = x × x

So,

2x² = (x√2)²

Similarly,

(1/2) = (1/√2) × (1/√2) = (1/√2)²

Hence,

2x² + (1/2) = (x√2)² + (1/√2)²

Thus,

Expressing 2x² + (1/2) is as (x√2)² + (1/√2)².

Hope it helped and believing you understood it........All the best