Answer: 2√2 - 3Explanation:The expession written properly is:

To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.
That is, you have to multiply both numerator and denominator times the conjugate of the denominator.
The conjugate of √3+√6 is √3 - √6, so let's do it:

To help you with the solution of that expression, I will show each part.
1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =
= 3 - 2√18 + 6 = 9 - 6√2.
2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3
3) Then the resulting expression is:
9 - 6√2
-----------
-3
Which can be further simplified, dividing by - 3
-3 + 2√2
Answer: 2√2 - 3
Answer:
Step-by-step explanation:
1,2,4,8
those are the factors of 8
Answer:
b. even
Step-by-step explanation:
m is a multiple of 8, so it is also a multiple of 4. When a multiple of 4 is divided by 2, the result is a multiple of 2 (even).
Answer:
Hence, the surface area of cone is:
282.6 cm^2 which is approx 283 cm^2.
Step-by-step explanation:
We are given:
- The circular base of a cone has a radius of 5 centimeters.
i.e. r=5 cm.
- The height of the cone is 12 centimeters
i.e. h=12 cm.
- The slant height is 13 centimeters.
i.e. l=13 cm.
Now we know that the surface area(S.A.) of cone is given by:

Hence by putting the value of l,r and π in the formula we get:

Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.