Answer:
3 m4 • sqrt(2m)
Step-by-step explanation:
STEP 1: Factor 18 into its prime factors
18 = 2 • 32
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
9 = 32
Factors which will remain inside the root are :
2 = 2
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
3 = 3
At the end of this step the partly simplified SQRT looks like this:
3 • sqrt (2m9)
STEP 2: Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(m9) = m4 • SQRT(m)
Answer:
1)C
2)B
3)D
Step-by-step explanation:
1)C, since 160/3 does not equal to 55
2)B, since 2/8=0.25, 3/12=0.25 and so on
3)D, since 48/3=16
Hope I helped!
Answer:
5=4.50 6= ? 7= -3/8
Step-by-step explanation:
First, you should combine the x terms:
-3x - 7 = 29
Then, get rid of the negative 7, by adding 7 to both sides.
-3x = 22
Finally divide 22 by -3, to solve for x.
x = -22/3 or -7.33
Answer:
20
Step-by-step explanation: