Question

Select the correct answer.

Select the simplification that accurately explains the following statement.
√2 = 2+
.
(2+)¹ = 2.2. 2t. 2+ = 4 · 2t = 4 ₁ · 2 = 2
○ B. (24) * = 24. 2. 2¹ · 2t = 24 ·· = 2 = 2¹ = 2
O C.
(2+) ¹ = 2 - 21 - 2t. 21 = 2 · († + ¹ + ¹ + ¹) = 2 · 4 = 2
O D. (24) * = 24 · 2t. 2t. 24 = 2+++++++ = 2 = 2¹ = 2
O A.

Answer 1

Explanation:

The correct answer is option C: (2+)¹ = 2 - 21 - 2t. 21 = 2 · († + ¹ + ¹ + ¹) = 2 · 4 = 2.

To simplify the expression √2 = 2+, we need to find the value of 2+.

In option C, we can see that (2+)¹ is equal to 2 - 21 - 2t. By substituting this expression into the equation, we get:

√2 = 2 - 21 - 2t

Next, we simplify the equation further by expanding the expression 21 into † + ¹ + ¹ + ¹, which equals 4. Therefore, we have:

√2 = 2 - 4 - 2t

Simplifying this equation, we get:

√2 = -2 - 2t

Finally, we can solve for t by isolating it on one side of the equation:

√2 + 2 = -2t

Dividing both sides by -2, we find:

-√2 - 1 = t

So, the correct simplification is (2+)¹ = 2 - 21 - 2t. 21 = 2 · († + ¹ + ¹ + ¹) = 2 · 4 = 2.