All categories

3 years ago

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 $\sqrt{10}$

You might be interested in

Circle the letter that is true about the grain size in rock

zavuch27 [327]

Well circle it m9 XD

7 0

3 years ago

Anna's car requires 5 1/2 gallons of gasoline to make 4 round trips to work and back. If her car can travel 24 miles per gallon

marysya [2.9K]

Answer:

33 miles

Step-by-step explanation:

5.5÷4= 1.375 gal per round

1.375×24= 33 miles

4 0

3 years ago

Which type of transformation could cause a change in the period of a tangent or cotangent function? vertical shift phase shift v

siniylev [52]

The horizontal stretch is the correct answer. A period is the distance on the x-axis that it takes for the tangent or cotangent function to repeat itself. Stretching it out horizontally will lengthen that distance and therefore change the period.

7 0

3 years ago

Read 2 more answers

Which of the following is an improper integral?

guapka [62]

Answer:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

General Formulas and Concepts:

<u>Calculus</u>

Discontinuities

Removable (Hole)
Jump
Infinite (Asymptote)

Integration

Integrals
Definite Integrals
Integration Constant C
Improper Integrals

Step-by-step explanation:

Let's define our answer choices:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

B) $\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx$

C) $\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx$

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

6 0

3 years ago

How many complex roots does the polynomial equation below have? x^5 - 3 = 0

const2013 [10]

For any polynomial equation, The Fundamental Theorem of Algebra tells you that the highest degree present will tell you how many complex roots the equation has. There are only two terms, " $x^{5}$ " and "3". The $x^{5}$ term has a degree of 5, its exponent. The 3 term has a degree of zero, because you could write it as $3 * x^{0} = 3 * 1$ using the zero exponent rule.

The degrees present are 5 and 0. Choose the highest one, 5. So, the answer here is D.

8 0

3 years ago