Question

How do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing

Answer 1

Answer:

I also got -1 doing it on my calculator

Step-by-step explanation:

i first converted it to exponent form to get rid of the radical

      (9 - 4(2)^1/2 )^1/2  - 2(2)^1/2            solve inside the first parenthsis

      (9 - 4(1.414)^1/2  - 2(2)^1/2              

      (9 - 5.656)^1/2  - 2(2)^1/2                √2 times 4

      (3.343)^1/2  - 2(2)^1/2                     9 - √2 times 4

      1.828  - 2(2)^1/2                             √(9 - √2 times 4)

      1.828  - 2(1.414)                     √(9 - √2 times 4) - 2√2

      1.828  - 2.828                       √(9 - √2 times 4) - 2√2

      -1

Answer 2

Answer:

4√2 = 5.657

9 - 5.657 = 3.343

√3.343 = 1.828

2√2 = 2.828

1.828 - 2.828 = -1