Question

3√7+√252 √96-3√6 √20+√125 √300-√27 Вынеси множитель из под корня и упрости выражение

Answer 1

Ответ:

3√7+√252=9√7

√96-3√6=√6 (тут не уверен)

√20+√125=7√5

√300-√27=7√3

Объяснение:

Answer 2

Simplifying the Expression and Factoring Out the Square Roots

To simplify the given expression and factor out the square roots, we can start by finding the square roots of the numbers and then combining like terms.

The given expression is: 3√7 + √252 + √96 - 3√6 + √20 + √125 + √300 - √27

First, let's find the square roots of the numbers: - √7 ≈ 2.646 - √252 ≈ 15.874 - √96 ≈ 9.798 - √6 ≈ 2.449 - √20 ≈ 4.472 - √125 ≈ 11.180 - √300 ≈ 17.321 - √27 ≈ 5.196

Now, we can combine the like terms and simplify the expression: 3√7 - 3√6 + √252 + √96 + √20 + √125 + √300 - √27 = 2.646 - 2.449 + 15.874 + 9.798 + 4.472 + 11.180 + 17.321 - 5.196 = 53.645

So, after simplifying the expression and factoring out the square roots, the result is approximately 53.645.