1. sqrt(98) = 7 sqrt(2)
2. sqrt(y^6) = y^3
3. sqrt(a^7) = a^7/2
4. sqrt(12x^3y^2) = 2xy sqrt(3x)
5. sqrt(36x^2y^4) = 6xy^2
6. sqrt(48ab^3) = 4b sqrt(3ab)
7. sqrt(10a^5b^2) = a^2b sqrt(10a)
8. sqrt(20x^3y^10 = 2xy^5 sqrt(5x)
Answer:

And replacing the value of
we got:

Step-by-step explanation:
For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

And the surface area for a cylinder is given by this formula:

And replacing the info given we got:

And replacing the value of
we got:

Answer:
x=9
Step-by-step explanation:
<span>The sum of Kate age and her mother's age is 52, so
K + M = 52
Kate's mother is 20 years older then Kate, so
M = 20 + K
How old is each person?
Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K
So, K + (20 + K) = 52
K + 20 + K = 52
2K + 20 = 52
Subtract 20 from both sides:
2K = 52 - 20
2K = 32
divide both sides by 2 to get
K = 16
Now we can find M, since M = 20 + K = 20 + 16 = 36
Kate is 16 years old and her mother is 36 years old.
Hope this helps!!1</span>
Because its a square all its sides are 5cm
So area of square is 5x5=25cm^2
Triangle is 5x4= 20
20/2 is 10cm^2
25+10=35cm^2