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babunello [35]
2 years ago
7

How to you get the radical form?

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

Note: this answer is kind of long so jump to picture to see a visual process.

In order to find the simplest radical form of a square root, you need prime factorize the number. In order to do this, you take a number and divide it by different prime numbers until all of its factors are now prime. We will use 24 as our example. 24 divided by 2 (which is prime) is 12. 12 divided by 2, is 6. 6 divided by 2 is 3. Therefor, our prime factorization of 24 is 2^3 * 3, which basically means 8 * 3. Then, take take out pairs of the same number and put on the OUTSIDE of the root. However, make sure that it is NEXT to the square root and not inside the mini hook that the square root makes. This means that that number is multiplying the square root of the number. Now, the only pair in this prime factorization is 2, so take two out of the prime factorization and that leaves us with square root 6 times 2, which is the answer.

Also, when taking out pairs, only take one number from the pair (in this case 2) and put it on the outside. If there is another pair, multiply that number by the other number. So if there was a pair of 3 and a pair of 2, take out 1 three and 1 two and multiply them and put on the outside.

Step-by-step explanation:

<h2><u>P</u><u>LS </u><u>MARK</u><u> ME</u><u> BRAINLIEST</u><u> AND</u><u> FOLLOW</u><u> M</u><u> E</u><u> LOTS</u><u> OF</u><u> LOVE</u><u> FROM</u><u> MY</u><u> HEART</u><u> AND</u><u> SOUL</u><u> DARLING</u><u> TEJASWINI</u><u> SINHA</u><u> HERE</u><u> ❤️</u></h2>
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Help me answer this question??
Komok [63]

Part (i)

The square has area of 12*12 = 144 square meters. From that, we carve out four quarter-circles from each corner, as the diagram shows. Imagine that we rearranged the quarter circles so that they would then form a full circle. This circle would have radius 6 (half of the 12 meters), so the area of the circle is pi*r^2 = pi*6^2 = 36pi exactly

The four white sections combine to an exact area of 36pi, which approximates to 36*3.14 = 113.04 square meters. Use more decimal digits in pi to get a better approximation.

Exact answer: 36pi square meters

Approximate answer: 113.04 square meters (when using pi = 3.14)

=======================================================

Part (ii)

Once we know what the white sections combine to, we can subtract that area from the total overall area of 144 m^2

We end up with 144 - 36pi as the exact area of the red section

This approximates to 144 - 36*3.14 = 30.96 m^2

Exact answer:  144 - 36pi square meters

Approximate answer: 30.96 square meters (when using pi = 3.14)

5 0
2 years ago
Paul has four more nickels than quarters and twice as many dimes as quarters. If he has a total of $6.20, how many dimes does he
notka56 [123]

Answer:

12 quarters,   16 nickels, 24 dimes

Step-by-step explanation:

Nickels = 4 + quarters

dimes = 2 * quarters

total $6.20 = 0.25quarters + 0.1 dimes + 0.05nickels

6.20 = 0.25q + 0.1d + 0.05n

6.20 = 0.25q + 0.1*(2q) + 0.05(4 + q)

6.2 = 0.25q + 0.2q + 0.2 + 0.05q

6.2 = 0.45q + 0.2 + 0.05q

6.2 = 0.5q + 0.2

6 = 0.5q

q = 12

12 quarters,   16 nickels, 24 dimes

5 0
3 years ago
The rectangle shown represents the base of a rectangular prism. Use the ruler provided to measure the length and width of the re
Dmitry_Shevchenko [17]

Answer:

option G

22 in³

Step-by-step explanation:

I assumed the measurements as it could be different picture.

Length = 2.75

width = 4

Given in the question base of a rectangular prism of dimensions 4 by 2.75

Height of the prism = 2 in

Formula to calculate volume of rectangular prism

V = L x H x W

V = 4 x 2 x 2.75

V = 22 in³

5 0
3 years ago
What is the product of the two solutions from the quadratic formula?
ollegr [7]

Answer:

c/a

Step-by-step explanation:

The product of two solutions from the quadratic formula is c/a.

5 0
3 years ago
A middle school took all of its 6th grade students on a field trip to see a play. The students filled 660 seats, which was 55% o
Elan Coil [88]

Answer:

1200 seats

Step-by-step explanation:

<u>  x  </u>  =  <u> 660 </u>

100        55

55x = 66,000

x = 1200

7 0
3 years ago
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