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Lelu [443]
3 years ago
13

I do not get how to do Simpliflyng Radicals.

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
5 0
First step: Find out the prime numbers that make up the radical, for example, 120 would be 2x2x2x5x3
Second step: If there is 2 of the same number that repeats just put that number in the front of the resulting radical
Third: Just multiply the remaining radicals together and put the number in front of it.
Now you have
2 \sqrt{30}
sweet-ann [11.9K]3 years ago
5 0
<span><span><span>Example Simplify </span></span></span>√<span><span><span>252
Step 1: Find the prime factorization of the number inside a radical.252 = 2 x 2 x 3 x 3 x 7 
</span></span><span><span>Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.</span></span></span>√252 = √2 x 2 x 3 x 3 x 7
<span><span><span>Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.2 x 3</span></span></span>√7 
<span><span><span>Step 4: Simplify the expressions both inside and outside the radical by multiplying.6</span></span></span>√7

Hope that was clear!
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Answer: (0.8468, 0.8764)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

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z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students  believe that they will find a job immediately after graduation= 3099

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The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}

0.8616\pm (2.576)\sqrt{0.0000331513594662}

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In ABC, centroid D is on median AM. AD = x + 5 and DM = 3x – 5. Find AM
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Answer

Find out the value of AM.

To prove

As given

In ABC,

centroid D is on median AM.

AD = x + 5 and DM = 3x – 5.

By using the centroid property

The centroid divides each median in a ratio of 2:1.

Thus D divide the median AM  in a ratio of 2:1.

Therefore

(AD) = 2DM

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x = \frac{15}{5}

x = 3

Now

AM = 3+ 5

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DM = 3 × 3- 5

      = 4 unit

AM = AD + DM

      = 8 + 4

AM   = 12 unit

Therefore the AM is 12 unit.



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