Answer:

Step-by-step explanation:
Given:

To find:
Simplified result of the radical
Solution:
If a value is in square root and it is not a perfect square then we can solve it by finding the answer by factoring down it to smaller factors which are perfect squares and finding the square root of the smaller values
Now
68 can be written as
68 = 2 * 2 * 17
The given is

It can be written as

=
Now
=
.
so given become

∵√2² = 2
∵a*√b=a√b
Answer:
all real numbers greater than zero
Step-by-step explanation:
The square root of a number must be greater than or equal to zero
sqrt(x) ≥0
Squaring each side
x ≥0
This means the domain is all real numbers greater than or equal to zero
I would go with all real numbers greater than zero since it is the closest answer
Answer: it took T.J. 48 months to pay the car loan.
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P = principal or amount loaned
R = interest rate
T = time in years.
I = interest
From the information given,
P = $5800
R = 6.5%
Over the course of the loan, he paid a total of $1508 in interest. Therefore,
I = $1508 Therefore,
1508 = (5800×6.5×T)/100
1508 = 377T
T = 1508/377 = 4 years
Assuming there are 12 months in a year, the number of months in 4 years would be 4×12 = 48 months
Answer:
Step-by-step explanation:
cos x cos (3x)+sinx sin (3x)=0
cos (x-3x)=0
cos(-2x)=0
cos 2x=0=cos (2n+1)π/2
where n=0,1,2,3∞∞∞∞
2x=(2n+1)π/2
x=(2n+1)π/4
put n=0,1,2,3
x=π/4,3π/4,5π/4,7π/4