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Novosadov [1.4K]
3 years ago
9

44) 28 Can you pls solve this one for me and give me the work for it to

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

0.8\sqrt{7} or 2.12

Step-by-step explanation:

<em><u>To solve this, you have to split 28 into two of its factors. We can choose 7 and 4 (can be multiplied together to get 28):</u></em>

                                                       28

                                                   7         4

<em><u>However, 4 can also be split/factored:</u></em>

                                                       28

                                                   7         4

                                                          2       2

<u><em>So now we have a a pair of identical terms (being 2), so take this outside of the radical, like so (leave the 7 there):</em></u>

(2)(0.4)\sqrt{7}

0.8\sqrt{7} or 2.12

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3 years ago
Ernesto solves the equation below by first squaring both sides of the equation. \sqrt{\dfrac{1}{2}w+8}=-2 2 1 ​ w+8 ​ =−2square
algol [13]

Answer:

<h2>w = -8</h2>

Step-by-step explanation:

Given the equation solved by Ernesto expressed as \sqrt{\dfrac{1}{2}w+8}=-2, the extraneous solution obtained by Ernesto is shown below;

\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8

Hence, the extraneous solution that Ernesto obtained is w = -8

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Step-by-step explanation:

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