Answer:


Step-by-step explanation:
To simplify the square roots, break the number under the square root into factors. Any factors which are perfect squares may be simplified to outside the square root.

and
Answer:

Step-by-step explanation:
Given


Required
Determine the difference
Represent this with d.
d is calculated using

The equation becomes

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Answer:
The required equation is: y=-3
Option D is correct.
Step-by-step explanation:
We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).
The equation of line in slope-intercept form is expressed as: 
where m is slope and b is y-intercept.
Finding Slope:
Comparing with the given equation y=5, the slope m =0
The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0
Finding y-intercept
The y-intercept can be found using slope m=0 and point (-4,-3)

So, y-intercept b is b=-3
The equation of required line having slope m=0 and y-intercept b=-3 is

So, required equation is: y=-3
Option D is correct.