Answer:
![8x\sqrt{3xy](https://tex.z-dn.net/?f=8x%5Csqrt%7B3xy)
Step-by-step explanation:
<h3>Solution:.</h3><h3>
![\frac{1}{4} + \frac{11}{4} + \frac{12}{5} \\ = \frac{1 \times 5 + 11 \times 5 + 12 \times 4}{20} \\ = \frac{5 + 55 + 48}{20} \\ = \frac{108}{20} \\ = 5 \frac{8}{20} \\ = 5 \frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B11%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B12%7D%7B5%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%20%5Ctimes%205%20%2B%2011%20%5Ctimes%205%20%2B%2012%20%5Ctimes%204%7D%7B20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B5%20%2B%2055%20%2B%2048%7D%7B20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B108%7D%7B20%7D%20%20%5C%5C%20%20%3D%205%20%5Cfrac%7B8%7D%7B20%7D%20%20%5C%5C%20%20%3D%205%20%5Cfrac%7B2%7D%7B5%7D%20)
</h3><h3>Answer:</h3>
![5 \frac{2}{5}](https://tex.z-dn.net/?f=5%20%5Cfrac%7B2%7D%7B5%7D%20)
Hope it helps.
Do comment if you have any query.
Answer:
Victor gives 28 tools to IIya.
Step-by-step explanation:
Consider the provided information
The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2
Let V represents the Victor and I represent llya
Therefore,
![\frac{V}{I} = \frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7BI%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D)
It is given that Victor has 42 more tools than Ilya.
![\frac{V}{I} = \frac{5}{2}=\frac{42+I}{I}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7BI%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D%3D%5Cfrac%7B42%2BI%7D%7BI%7D)
Solve the above equation.
![\frac{5}{2}=\frac{42+I}{I}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%3D%5Cfrac%7B42%2BI%7D%7BI%7D)
![5I=84+2I](https://tex.z-dn.net/?f=5I%3D84%2B2I)
![3I=84](https://tex.z-dn.net/?f=3I%3D84)
![I=28](https://tex.z-dn.net/?f=I%3D28)
Thus, IIya has 28 tools.
Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.
Victor has 70 tools.
We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4
Let Victor gives x tools to IIya. Thus,
![\frac{3}{4}=\frac{70-x}{28+x}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B70-x%7D%7B28%2Bx%7D)
![3(28+x)=4(70-x)](https://tex.z-dn.net/?f=3%2828%2Bx%29%3D4%2870-x%29)
![84+3x=280-4x](https://tex.z-dn.net/?f=84%2B3x%3D280-4x)
![7x=196](https://tex.z-dn.net/?f=7x%3D196)
![x=28](https://tex.z-dn.net/?f=x%3D28)
Hence, Victor gives 28 tools to IIya.
In this case, you just multiply the expression under the root that gave the greatest integer (as you pull the square root of that number). See how I did: 4 multiplied by 31, which gives 124 then pull out the square root of 4, because 31 can not be, because it is a prime number and root would be an irrational number.