Question

2) y = √√x - 2; 5) y = 2√√√x + 1; 8) y = √√x - 1. 3) y = 2 + √x - 1; 6) y = √x + 1-3;

Answer 1

Ответ:

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Answer 2

Let's simplify and analyze each of the given equations:

2. y = √√x - 2

This equation represents a square root within a square root. To simplify it, we'll start from the innermost operation and work our way outwards.

Let's denote the inner square root (√x) as a variable, let's say u: u = √x

Now, the equation becomes: y = √u - 2

To simplify it further, we'll apply the outer square root: y = √(u - 2)

Therefore, the simplified equation is y = √(√x - 2).

5. y = 2√√√x + 1

Similar to the previous equation, we'll simplify this step by step, starting from the innermost operation.

Let's denote the innermost cube root (∛x) as a variable, let's say v: v = ∛x

Now, the equation becomes: y = 2√v + 1

Next, we simplify the square root: y = 2√(v) + 1

Finally, substitute v with ∛x: y = 2√(∛x) + 1

Hence, the simplified equation is y = 2√(∛x) + 1.

8. y = √√x - 1

Following the same approach, we'll simplify this equation:

Let's denote the inner square root (√x) as a variable, let's say w: w = √x

Now, the equation becomes: y = √w - 1

Hence, the simplified equation is y = √(√x) - 1.

3. y = 2 + √x - 1

This equation involves a simple addition and square root operation.

Simplifying it further: y = 2 + √x - 1 y = 1 + √x

Thus, the simplified equation is y = 1 + √x.

6. y = √x + 1 - 3

Similar to the previous equation, this one also involves addition and subtraction with a square root operation.

Simplifying it further: y = √x + 1 - 3 y = √x - 2

Therefore, the simplified equation is y = √x - 2.

These are the simplified forms of the given equations based on the provided information.