Mathematics: What is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)

What is the following product 3 sqrt 2(5 sqrt 6-7

Ответ:

daeshawnc14

13.03.2022

$3\sqrt2\cdot(5\sqrt6-7\sqrt3)=3\cdot5\cdot\sqrt{2\cdot6}-3\cdot7\cdot\sqrt{2\cdot3}\\\\=15\sqrt{12}-21\sqrt6=15\sqrt{4\cdot3}-21\sqrt6=15\cdot\sqrt4\cdot\sqrt3-21\sqrt6\\\\=15\cdot2\cdot\sqrt3-21\sqrt6=\boxed{30\sqrt3-21\sqrt6}$
$Used:\\\sqrt{a}\cdot\sqrt{b}=\sqrt{a\cdot b}$

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Ответ:

luceridiaaz

26.09.2020

Mathematics

a = 5, b = -3 and c =1

Step-by-step explanation:

The standard form of a quadratic equation is expressed as;

f(x) = ax² + bx + c

Given the expression

f(x) = 5x² = 3x - 1

f(x) = 5x² - 3x + 1

Comparing with the general formula;

ax² = 5x²

a = 5

bx = -3x

b = -3

c = 1

Hence a = 5, b = -3 and c =1

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What is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)

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