Question

СРРОООООЧНООООООООООООООООО √8p - √25 + √18p​

Answer 1

Ответ:

=√2р*4-5+√2р*9=2√2р-5+3√2р=5√2р-5

Объяснение:

Answer 2

To solve the given expression, let's break it down step by step:

1. √8p: - The square root of 8p can be simplified as √(8 * p). - Since 8 is not a perfect square, we can break it down into its prime factors: 8 = 2 * 2 * 2. - Therefore, √(8 * p) = √(2 * 2 * 2 * p). - Taking out the perfect square, we get √(2 * 2) * √(2 * p). - Simplifying further, we have 2 * √(2p). - So, √8p = 2√(2p).

2. √25: - The square root of 25 is a perfect square and equals 5. - Therefore, √25 = 5.

3. √18p: - The square root of 18p can be simplified as √(18 * p). - Since 18 is not a perfect square, we can break it down into its prime factors: 18 = 2 * 3 * 3. - Therefore, √(18 * p) = √(2 * 3 * 3 * p). - Taking out the perfect squares, we get √(2 * 3 * 3) * √p. - Simplifying further, we have 3√2 * √p. - So, √18p = 3√2 * √p.

Now, let's substitute the simplified values back into the original expression:

√8p + √25 + √18p = 2√(2p) + 5 + 3√2 * √p.

Please note that the given expression cannot be simplified further without knowing the value of 'p'. If you have a specific value for 'p', you can substitute it into the expression to get a numerical result.