Question

Выполните действие: (5√3+2√5)•√5 -√60

Answer 1

5√15+2*5-2√15=3√15+10

Answer 2

(5√3+2√5).√5 - √60=5.√3.√5+2.√5.√5 -√(4.15)=
=5.√(15) +2.√(25)-√4.√(15)=5.√(15)+2.5 -2.√(15)=3.√(15) +10

Answer 3

I can help you with math problems. To solve this expression, we need to use the following rules:

- The distributive property: $(a+b)\cdot c = a\cdot c + b\cdot c$ - The product of square roots: $\sqrt{a}\cdot \sqrt{b} = \sqrt{a\cdot b}$ - The difference of squares: $a^2 - b^2 = (a+b)\cdot (a-b)$

Using these rules, we can simplify the expression as follows:

$$ \begin{aligned} (5\sqrt{3}+2\sqrt{5})\cdot \sqrt{5} - \sqrt{60} &= 5\sqrt{3}\cdot \sqrt{5} + 2\sqrt{5}\cdot \sqrt{5} - \sqrt{60} \\ &= 5\sqrt{15} + 2\cdot 5 - \sqrt{4\cdot 15} \\ &= 5\sqrt{15} + 10 - \sqrt{4}\cdot \sqrt{15} \\ &= 5\sqrt{15} + 10 - 2\sqrt{15} \\ &= 3\sqrt{15} + 10 \end{aligned} $$

Therefore, the final answer is $3\sqrt{15} + 10$. You can check your answer by using a square root calculator. If you need more help with math, you can also visit some online resources or ask me another question.

: https://www.gigacalculator.com/calculators/square-root-calculator.php : https://online-otvet.ru/algebra/5cea751d96f4e19a29fbb2b2