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: 19 1/5
Step-by-step explanation: 5 goes into 32 6 2/5 times and 6 2/5 x 3 = 19 1/5
Answer:
(2x + 3)(x - 7)
Step-by-step explanation:
Answer:
a) 72
Step-by-step explanation:
The rightmost digit, 5, is in the ones place, so its value is 5.
The next digit to the left, the 4 is in the sixes place, so its value is 4 * 6 = 24.
The next digit to the left, the 2, is in the 36 place, so its value is 2 * 36 = 72.
Answer: a) 72
Step-by-step explanation:
<u>y</u> - <u>1</u> = <u>-</u><u>3</u>
x - 0 2
2y - 2 = -3x
2y = -3x + 2