SOLUTION: divide and simplify so that there are no radicals in the denominator. show your steps. 1. square root 7 over 100 2. square root of 18 + square root 24 over square root of 6

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: divide and simplify so that there are no radicals in the denominator. show your steps. 1. square root 7 over 100 2. square root of 18 + square root 24 over square root of 6       Log On


   



Question 252926: divide and simplify so that there are no radicals in the denominator. show your steps.
1. square root 7 over 100
2. square root of 18 + square root 24 over square root of 6
3. 8 over square root of 6

Found 3 solutions by richwmiller, dabanfield, drk:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1. no radical in the denominator
2.sqrt(18)+sqrt(24) /(sqrt(6))
factor
sqrt(6)*sqrt(3)+sqrt(6)*sqrt(4)/sqrt(6)
sqrt(6)*(sqrt(3)+sqrt(4))/sqrt(6)
I leave the rest for you
3.8/sqrt(6)
multiply by sqrt(6)/sqrt(6)
3.8*(sqrt(6)/6
I leave it for you to simplify.

Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
divide and simplify ao that there are no radicals in the denominator. show your steps.
1. square root 7 over 100
2. square root of 18 + square root 24 over square root of 6
3. 8 over square root of 6

(1.) sqrt(7/100) = sqrt(7)/sqrt(100) = sqrt(7)/10
(2.) (sqrt(18) + sqrt(24)) / sqrt(6)
Multiply numerator and denominator by sqrt(6):
sqrt(6)*((sqrt(18)+sqrt(24)) / [sqrt(6)*sqrt(6)] =
[sqrt(6*18) + sqrt(6*24)] / 6 =
[sqrt(108) + sqrt(144)] / 6 =
[sqrt(36*3) + 12] / 6 =
[6*sqrt(3) + 12] / 6 =
sqrt(3) + 2
(3.) 8/sqrt(6)
Again multiply numerator and denominator by sqrt(6):
8*sqrt(6) / [sqrt(6)*sqrt(6)] =
8*sqrt(6) / 6 =
(4/3)*sqrt(6)

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
divide and simplify so that there are no radicals in the denominator. show your steps.
1. square root 7 over 100
I will assume the question looks like this:
sqrt%287%2F100%29
we get
sqrt%287%29+%2F+sqrt%28100%29
which is
sqrt%287%29 / 10
--
2. square root of 18 + square root 24 over square root of 6
(sqrt%2818%29 + sqrt%2824%29) / sqrt%286%29
simplify sqrt(18) as 3sqrt(2) and sqrt(24) as 4sqrt(6)
(3sqrt%282%29+%2B+4sqrt%286%29) / sqrt%286%29
multiply by conjugate, sqrt(6), on both numerator and denominator to get
(3sqrt%282%29+%2B+4sqrt%286%29)*sqrt%286%29 / 6
distribute to get
(3sqrt%2812%29+%2B+4sqrt%2836%29) / 6
simplify the numerator to get
%286sqrt%283%29+%2B+24%29 / 6
and then factor out a 6 to get
sqrt%283%29+%2B+4.
--
3. 8 over square root of 6
8%2Fsqrt%286%29
multiply by conjugate, sqrt(6) on both top and bottom to get
8%2Asqrt%286%29+%2F+6
reduce to get
4sqrt%286%29%2F3