Question

1). √7*√28, √28/7, (3√7)²

Answer 1

Ответ:

1)14

2)2√7/7

3)63

Объяснение:

Answer 2

Let's simplify each expression:

1. √7 * √28:

First, we can simplify the square root of 28 by factoring it: √28 = √(4 * 7).

Now, we can use the property √(a * b) = √a * √b:

√7 * √(4 * 7) = √7 * √4 * √7

√4 is 2, so:

√7 * 2 * √7

Now, multiply the square roots:

2 * √7 * √7 = 2 * 7 = 14

So, √7 * √28 = 14.

2. √28 / 7:

We already found that √28 = 2 * √7 in the previous step.

Now, we can substitute this into the expression:

(2 * √7) / 7

Now, simplify by dividing both the numerator and denominator by 2:

(2/2) * (√7/7) = √7/7

So, √28/7 = √7/7.

3. (3√7)²:

First, square 3√7:

(3√7)² = (3² * (√7)²)

Now, simplify the square of √7:

(9 * 7)

Multiply 9 by 7:

63

So, (3√7)² = 63.

To summarize:

1. √7 * √28 = 14
2. √28/7 = √7/7
3. (3√7)² = 63