SOLUTION: Simplify. {{{24sqrt(10)/sqrt(120)}}}

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Question 1036684: Simplify.
24sqrt%2810%29%2Fsqrt%28120%29
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Use a basic rule about fractions, 1=sqrt%28120%29%2Fsqrt%28120%29.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Simplify.
24sqrt%2810%29%2Fsqrt%28120%29
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

24sqrt%2810%29%2Fsqrt%28120%29 = 24%2Fsqrt%2812%29 = %2824%2Asqrt%2812%29%29%2F12 = 2%2Asqrt%2812%29 = 2%2A2%2Asqrt%283%29 = 4%2Asqrt%283%29.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify.
24sqrt%2810%29%2Fsqrt%28120%29____
24sqrt%2810%29%2F%28sqrt%2810%29+%2A+sqrt%2812%29%29____24cross%28sqrt%2810%29%29%2F%28cross%28sqrt%2810%29%29+%2A+sqrt%2812%29%29___24%2Fsqrt%2812%29%29

24sqrt%2812%29%2F%28sqrt%2812%29+%2A+sqrt%2812%29%29 ------- Multiplying denominator by sqrt%2812%29 in order to RATIONALIZE it

24sqrt%2812%29%2F12%29_____2cross%2824%29sqrt%2812%29%2Fcross%2812%29_____2sqrt%2812%29____2sqrt%284+%2A+3%29______2%282%29sqrt%283%29_____highlight_green%284sqrt%283%29%29