All categories

3 years ago

Simplify 8√27 (show work)

1 answer:

5 0

I was taught that if you must simplify a square root by doing the birthday cake method. Basically divide the radical by its lowest common factor until it can't be divided anymore. Also the lowest factor can't be 1. For 27, the lower common factor is 3.

27/3 = 9/3 = 3

Since in a common square root the index is 2, you must pair the least common factors. There is 1 pair of 3 and there is 1 remaining

$\sqrt{27}$ is 3 $\sqrt{3}$ .

You must multiply 3 and 8, which gives 24

The answer is 24 $\sqrt{3}$

You might be interested in

Find the m2.

Lisa [10]

9514 1404 393

Answer:

d. m∠Q = 75 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.

∠P +∠Q +∠R = 180°

x° +(2x +15)° +(2x +15)° = 180°

5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30

x = 30 . . . . . . . . . . . . . . . . divide by 5

m∠Q = (2x +15)° = (2(30) +15)°

m∠Q = 75°

8 0

3 years ago

1) The first term in an arithmetic series is 2, while the sum of the first 8 terms of the series is 1472. What is the 8th term i

daser333 [38]

Answer:

Is not the answer but is how to do it. Sorry

Step-by-step explanation:

you got the value of a=2

use the formula

S=n/2 [2a+(n-1)d] then calculate d from here..

put it in t=a+(n-1)d

4 0

3 years ago

To prove a<br> triangle is isosceles without the measures of each side , you need to know the?

Dovator [93]

Answer:

Two sides are congruent

By definition.

Two angles are congruent

Draw a segment bisecting the non-congruent angle.

7 0

3 years ago

Simplify (3^5)^2 / 3^-2

trapecia [35]

Hey this answer question

8 0

3 years ago

Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data

Nataly_w [17]

Answer:

The median is increased by 2

Step-by-step explanation:

The median is the number in the middle of the data when looked at from lowest value to greatest value. For the first data set, the median is 22. There are five values, and 22 has two values on both sides. For the second data set, the median is 24. Since there is an even number of data values, you have to take the two middle values, which are the values that have the same amount of values on each sides, and then find the average of those two values. To find the average, add up the values you are trying to find the average of, and then divide the sum by the number of values. The two middle values are 22 and 26 because there are two numbers on either side of them. (On the left side, there are the numbers 15 and 19, and on the right side, 29 and 81.) The average of 22 and 26 is 24 because 22 + 26 = 48, and 48/2 = 24. 24 is 2 greater than 22.

3 0

3 years ago