Posted by Aliza on Monday, December 10, 2012 at 8:52am.
PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT PLEASE.
*CHALLENGE.
1.SIMPLIFY : SQUARE ROOT OF 16^8+8^4/16^2+16^7
2.EXPRESS 1 + 1/1+SQUARE ROOT OF 2  1/1SQUARE ROOT OF 2 IN THE FORM A+B SQUARE ROOT OF 2, WHERE A AND BARE RATIONAL NUMBERS. FIND A + B.
3. ARRANGE THE NUMBERS SQUARE ROOT OF 6, 1+ SQUARE ROOT OF 2, 2 SQUARE ROOT OF 5/3 IN INCREASING ORDER WITHOUT THE USE OF CALCULATOR.
4. WHAT IS THE POSITIVE GEOMETRIC MEAN FOR THE POSITIVE DIVISORS OF 2012?
5. WHAT IS THE SIMPLEST FORM OF 12/SQUARE ROOT OF 2 + SQUARE ROOT OF 3 + SQUARE ROOT OF 5?
6. A CUBE IS INSCRIBED IN A SPHERE WHOSE DIAMETER IS 12 CM. WHAT IS THE VOLUME OF THE CUBE?
7. THE DIFFERENCE BETWEEN 2 POSITIVE NUMBERS IS 2 SQUARE ROOT OF 3 AND THE PRODUCT OF THE 2 NUMBERS IS SQUARE ROOT OF 2. FIND THE ABSOLUTE VALUE OF THE DIFFERENCE OF THEIR RECIPROCALS.
PLEASE ANSWER AS SOON AS POSSIBLE. PLEASEEEEE. WITH SOLUTIONS . HOW YOU DID IT PLEASEEEEEEEEE.

Math PLEASE HELP ASAP  Steve, Monday, December 10, 2012 at 11:13am
whew  hard to concentrate WITH ALL THE SHOUTING!!!
#1:
(16^8+8^4)/(16^2+16^7)
= (16^8+16^2)/(16^2+16^7)
= 16^2 (16^6+1) / 16^2 (1+16^5)
= (16^6+1)/(16^5+1)
don't see any way to simplify that, so you wind up with
√(16^6+1)/(16^5+1)
it will be very very close to √16=4
#2:
1/(1+√2)  1/(1√2)
put all over a common denominator
[(1√2)  (1+√2)]/(1^2  √2^2)
= 2√2/(12)
= 2√2
#3:
√6,1+√2,2√5/3
try squaring the values. The squares will be in the same order as the numbers:
6,3+2√2,20/9
3+3,3+2√2,37/9
Since √2 < 1.5, 3+2√2 < 3+3
Looks like they should be in order:
2√5/3, 1+√2, √6
#4:
2012 = 2^2 * 503
The divisors are thus
1,2,4,503,1006,2012
geometric mean is sixthroot(2012^3) = √2012 = 2√503
#5:
12/√2 + √3 + √5
= 6√2 + √3 + √5
Hmmm. not much sense
How about
12/(√2+√3+√5) = 3√2 + 2√3  √30
not sure that's any simpler
#6:
The main diagonal of the cube is the diameter of the sphere. So, the side s of the cube is
3s^2 = 12
s=2
volume = 8
#7:
xy = 2√3
xy = √2
1/x  1/y = (yx)/xy = 2√3/√2 = √6
so, 1/x  1/y = √6
Answer This Question
Related Questions
 Math simplifying mixed radicals  Please help me simplify these following mixed ...
 Math simplifying mixed radicals  Please help me simplify these following mixed ...
 College Algebra help please  I need some help with a handful of questions. I ...
 Math  Just need some help... Directions: Multiply or raise to the power as ...
 Algebra  Use the quadratic formula to solve the equation. Give exact answers: ...
 Math  Could someone please help me with this math problem? This is what I have ...
 Algebra  Rationalize each expression by building perfect nth root factors for ...
 Math  What is the square root of 12? 3.464 Well, that's true, but you could ...
 college precalculus  simplify: square root (4/3)square root (3/4) A. 2sqaure...
 Math ~CHECK MY ANSWER~  1) Which of these is a rational number? a. Pi b. Square...
More Related Questions