Answer:
The simplest radical form is
⇒ (c)
Step-by-step explanation:
To simplify any square root;
- Factorize the number under the root using prime numbers
- Take out the root any number repeated twice as one number
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<em><u>Examples:</u></em>
1. Simplify 
factorize 8 using prime numbers
8 = 2 × 2 × 2, then 
Take two of 2 out the root, then 
2. Simplify 
factorize 18 using prime numbers
18 = 2 × 3 × 3, then 
Take the two 3 out the root, then 
Let us simplify 
∵ 45 = 3 × 3 × 5
∴ 
→ Take the two 3 out by one 3
∴ 
→ Multiply the numbers out the root
∴ 
∴ The simplest radical form is 
3 - 1/8a = 1/4
The goal is to isolate "a" and its coefficient to make the simplification process easier.
Start by subtracting 3 from both sides:
3 - 3 - 1/8a = 1/4 -3
-1/8a = 1/4 - 3
Next, multiply 3 by 4/4 to convert it into a fraction:
-1/8a = 1/4 - [3 • (4/4)]
-1/8a = 1/4 - 12/4
-1/8a = - 11/4
Multiply both sides by -8:
(-8) -1/8a = - 11/4 (-8)
a = 88/4 = 22
Therefore, a = 22.
Answer: 6 x 8=48
Step-by-step explanation:
The equation of line parallel to given line is: y=4x-31
Step-by-step explanation:
Given equation of line is:
The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.
Let m1 be the slope of the given line
then
m1 = 4
Let m2 be the line that is parallel to given line
As we know that the slopes of parallel lines is equal so
m1=m2 = 4
The slope-intercept form of equation of line is:
Putting the value of slope
to find the value of b, putting (5,-11) in the equation
Putting the value of b
Hence,
The equation of line parallel to given line is: y=4x-31
Keywords: Equation of line, slope
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