Mathematics: True of false (sqrt 2 + sqrt 3)^2 =2+3=5

True of false (sqrt 2 + sqrt 3)^2 =2+3=5 - id23223513724848, CylieTbh

Ответ:

noeltan12031

12.06.2021

Mathematics

False

===================================================

Explanation:

Recall that the FOIL rule says

(a+b)^2 = (a+b)(a+b) = a^2+2ab+b^2

If we plug in $a = \sqrt{2}$ and $b = \sqrt{3}$ , then you should find that

$(a+b)^2 = a^2+2ab+b^2\\\\(\sqrt{2}+\sqrt{3})^2 = (\sqrt{2})^2+2*\sqrt{2}*\sqrt{3}+(\sqrt{3})^2\\\\(\sqrt{2}+\sqrt{3})^2 = 2+2*\sqrt{2*3}+3\\\\(\sqrt{2}+\sqrt{3})^2 = 5+2\sqrt{6}\\\\$

So that 5 the student got is close, but there's a missing term needed to be added on: namely the $2\sqrt{6}$ term.

0,0(0 оценок)

Ответ:

abbeyeasterwood

19.12.2022

Mathematics

First we need to have same units before comparing them. That is, either both of them are in cm or both of them are in mm. So if we need to convert 12.5 cm to mm, we know that 1 cm =10 mm. So we have to find out how many mm are in 12.5 cm. And let 12.5 cm =x mm. So to find the value of x , we set a proportion and solve for x. That is

$\frac{1cm}{10mm}=\frac{12.5cm}{x mm}$

The units cancel out and we do cross multiplication. That is

1*x =12.5*10

x=125

So 12.5 cm =125 mm. Therefore the correct proportion is C.

0,0(0 оценок)

True of false (sqrt 2 + sqrt 3)^2 =2+3=5

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question