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enot [183]
3 years ago
5

t%7B20%7D%20%2B%202%5Csqrt%7B175%7D%20" id="TexFormula1" title=" \frac{42}{ \sqrt{28} } + \frac{60}{45} - 2 \sqrt{20} + 2\sqrt{175} " alt=" \frac{42}{ \sqrt{28} } + \frac{60}{45} - 2 \sqrt{20} + 2\sqrt{175} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

4/3−4√5+13√7

Step-by-step explanation:

So for whatever reason we don't like it when the radical is in the denominator so we're going to do a process called rationalization and get rid of it. We do this by multiplying both the numerator and denominator by the radical

So for the first part we multiply the numerator and denominator by \sqrt{28} which gives us \frac{42\sqrt{28} }{28} we can then factor the 28 into sqrt(7,2,2) which simplifies to 42*2\sqrt{7}/28  So then we can simplify this and get 3\sqrt{7} We then can simplify the rest of these radicals and get 2\sqrt{20}=2\sqrt{2*2*5}=4\sqrt{5}  and 2\sqrt{175}= 2\sqrt{5*5*7}=2*5\sqrt{7} This means that so far we have the following:3\sqrt{7}+ \frac{60}{45}-4\sqrt{5} +10\sqrt{7} We can add the like terms and simplify the fraction and get 4/3−4√5+13√7

You might be interested in
1
Nezavi [6.7K]

Answer:

3 ÷ 1/3 = 9

Step-by-step explanation:

= 3 ÷ 1/3

= 3/3 (3/1) ÷ 1/3

= 9/3 × 3/1

= 9/1

= 9

3 0
2 years ago
What is the distance between points A and B? <br>A. 1/3<br>B. 1/2<br>C. 1 1/3<br>D. 1 1/2<br><br>​
Savatey [412]

Answer:

A. 1/3

Step-by-step explanation:

From 1 to ___, ____, and 2 is half and half that would be 2 and a half. the only solution would be 1/3

4 0
2 years ago
-5x-4y=-7 on a graph
Flauer [41]

Answer:

Graph is attached below.

Step-by-step explanation:

If you want to solve for the variable x,

x = −4 / 5y + 7 / 5

3 0
2 years ago
Please help
oksian1 [2.3K]

Answer:

1: 11√3 - 7√6

2: 11√3 - 7√6

3: -9

4:12

Step-by-step explanation:

To add radicals they need to have the same radical part for the first one we have

7√3- 4√6 + √48 - √54

We can simplify the last two into 4√3 and 3√6

So we have 7√3 - 4√6 + 4√3 - 3√6

adding similar radicals we get

11√3 - 7√6

For the second one we have 11√3 - 7√6

There's nothing we can do from here so keep that as your answer

This one is quite easy -3√9

square root of 9 is 3

so we have -3*3 which is -9

next is

4√9

same deal as the one before

3*4=12

5 0
2 years ago
Read 2 more answers
An isosceles triangle has a vertical angle of 108 and a base 20 cm long. Solve for the base angles in calculated altitude.
xeze [42]

Answer:

The base angles are 36° each

Step-by-step explanation:

An isosceles triangle is a triangle that has two of its sides and base angles to be equal.

If an isosceles triangle has a vertical angle of 108°, then the base angles will share the remaining angle in the triangle equally.

Since the sum of angles in a triangle is 180°

The remaining angle in the triangle = 180°-108°

= 72°

Since the base angles are equal, this remaining two angles will share angle 72° equally.

The base angles = 72°/2

The base angles = 36°

This shows that the base angles are 36° each.

8 0
3 years ago
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