Answer: 34+89=7464668+684967676734(64774)+634876=<563576763>6783876783<+>74979894=738938477482738978e9827897279
Step-by-step explanation:
 
        
             
        
        
        
A good place to start is to set  to y. That would mean we are looking for
 to y. That would mean we are looking for  to be an integer. Clearly,
 to be an integer. Clearly,  , because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since
, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since  is a radical, it only outputs values from
 is a radical, it only outputs values from ![[0,\infty]](https://tex.z-dn.net/?f=%20%5B0%2C%5Cinfty%5D%20) , which means y is on the closed interval:
, which means y is on the closed interval: ![[0,120]](https://tex.z-dn.net/?f=%20%5B0%2C120%5D%20) .
.
With that, we don't really have to consider y anymore, since we know the interval that  is on.
 is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval ![[0,120]](https://tex.z-dn.net/?f=%20%5B0%2C120%5D%20) , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:
, which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.
 
        
             
        
        
        
Answer:
i need to know the expressions in order to answer but ill be happy to help otherwise
Step-by-step explanation:
 
        
             
        
        
        
4(m+6) - 3
Expand the brackets:
4m+24-3
4m+21
Hope this helps :)
        
                    
             
        
        
        
Answer:
= 32.440
Step-by-step explanation:
Change the divisor 12.5 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
4055 ÷ 125 = 32.440
and therefore:
405.5 ÷ 12.5 = 32.440
Both calculated to 3 decimal places.