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Anna007 [38]
3 years ago
10

Help me please Surds

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0

Answer:

12\sqrt{6} + 8\sqrt{15} + 12 + 4\sqrt{10}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

(4\sqrt{3} + 2\sqrt{2} )(3\sqrt{2} + 2\sqrt{5} )

Each term in the second factor is multiplied by each term in the first factor, that is

4\sqrt{3} (3\sqrt{2} + 2\sqrt{5} ) + 2\sqrt{2} (3\sqrt{2} + 2\sqrt{5} ) ← distribute both parenthesis

= 12\sqrt{6} + 8\sqrt{15} + 12 + 4\sqrt{10}

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3. Identify the subsets of real numbers that apply to /100/5
Alina [70]

Using number sets, it is found that the correct classification of the number is:

C. rational number, integer, whole number, natural number , real number.

Numbers are classified as:

  • Whole, which is all positive numbers and zero, also called natural.
  • Integers, which is the set of whole numbers plus negatives.
  • Rational, which is the set of integer numbers plus terminating or repeating decimals.
  • Irrational, which are non terminating decimals.
  • Real, which are the sum of rational and irrational.

In this problem, the number given is:

\frac{100}{5} = 20

  • Which is a whole(natural) number, thus it is also integer, rational and real, and the correct option is C.

A similar problem is given at brainly.com/question/10814303

7 0
2 years ago
Yoko's fish tank has 17 liters of water in it. She plans to add liters per minute until the tank has at least liters. What are t
Korvikt [17]

MISSING DETAILS

Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

3 0
2 years ago
2x^3 + x^2 – 7x – 6 divided by 2x +3
nevsk [136]

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

           0 + x^2  -x  -2

           ___________________________________

(2x+3)  |  2x^3  +x^2  -7x  -6

           -2x^3  -3x^2

            _________

                      -2x^2 -7x

                      +2x^2  +3x

                       __________

                                   -4x  -6

                                    +2x  +6

                                   _______

                                          0

6 0
2 years ago
What type of mixture is a liquid in a solid?<br> А<br> B<br> foam<br> gel<br> С<br> smoke<br> alloy
Free_Kalibri [48]
Alloy is the answer sir
6 0
3 years ago
Factor 2x^2-128 completely
Alina [70]
2x² - 128

2(x² - 64), but (x² - 64)  = x² - 8² (difference of 2 squares),[a²-b²=(a-b)(a+b)]

2(x² - 64) = 2(x² - 8²) = 2(x-8)(x+8)

8 0
3 years ago
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