Simplify the following expression:

Mathematics

2 answers:

Katyanochek1 [597]2 years ago

4 0

Answer:

$\boxed{-3\left(\sqrt{2}-1\right)}$

Step-by-step explanation:

$\left(3\sqrt{3-2\sqrt{2}}\right)\left(\sqrt{3}-2\right)\left(\sqrt{3}+2\right)$

$-3\sqrt{3-2\sqrt{2}}\left(-1\right)$

$-3\sqrt{3-2\sqrt{2}}$

$-3\left(\sqrt{2}-1\right)$

d1i1m1o1n [39]2 years ago

3 0

Answer:

Step-by-step explanation:

$(a + b)(a -b) = a^{2}-b^{2}\\\\\\a = \sqrt{3} \ & \ b = 2\\\\(\sqrt{3}-2)(\sqrt{3}+2)=(\sqrt{3})^{2}-2^{2} \\\\ = 3 - 4\\\\= -1$

$(3\sqrt{3-2\sqrt{2}})(\sqrt{3}-2)(\sqrt{3}+2)=(3\sqrt{3-2\sqrt{2}})*(-1)\\ \ = (-3)\sqrt{3-2\sqrt{2}}$

You might be interested in

Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding i

Dimas [21]

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

5 0

3 years ago

Mandy shaded the fraction strip below to represent a fraction Shade the fraction strip below so that it represents a fraction th

Aleksandr-060686 [28]

Your question is missing the figure, so the figure for your question is attached below:

Answer:

shade 2 strips out of 4 to get fraction strip equivalent to Mandy's fraction strip

Step-by-step explanation:

As Mandy shaded the 3 trips out of the total six strips. It shows the fraction of $\frac{3}{6}$

and $\frac{3}{6}=\frac{1}{2}$

To shade the given fraction strip so that it represents a fraction that is equivalent to Mandy's fraction strip, we should shade 2 stripes out of 4 that is equivalent to $\frac{1}{2}$