what will be the answer in:
1.) 12 (sqrt of 2) divided by 2 (sqrt of 27)
2.) (3rd root of 5) divided by (sqrt of 5)
2007-12-30 13:06:09 · 4 answers · asked by leSsien 1 in Science & Mathematics ➔ Mathematics
Question 1
12√2
------
2√27
12√2
------
6√3
2√2
-----
√3
2√6
----
3
Question 2
5^(1/3) / 5^(1/2)
5^(-1/6)
1 / 5^(1/6)
2007-12-30 20:46:40 · answer #1 · answered by Como 7 · 1⤊ 0⤋
1)
12sqrt(2) / 2 sqrt(27)
=>6 sqrt(2) / sqrt(3^2*3)
=>6 sqrt(2) / 3 sqrt(3)
=>2 sqrt(2)/sqrt(3)
multiply with sqrt(3)/sqrt(3)
2 sqrt(2)sqrt(3) / 3
=>(2/3)sqrt(6)
2)
(5)^1/3 / (5)^1/2
=>(5)^(1/3 - 1/2)
=>(5)(-1/6)
=>1/5^(1/6) = 1 divided by 6th root of 5
2007-12-30 21:14:05 · answer #2 · answered by mohanrao d 7 · 0⤊ 0⤋
Question 1:
(12*sqrt(2)) / (2*sqrt(27))
=(12*sqrt(2)) / (2*sqrt(9*3))
=(12*sqrt(2)) / (2*sqrt(9*3))
=(12*sqrt(2)) / (2*3*sqrt(3))
=(12*sqrt(2)) / (6*sqrt(3))
=2*sqrt(2/3)
=1.63299316185545
**************************************************
Question 2:
5^(1/3) / 5^(1/2)
= 5^(1/3 - 1/2)
= 5^(2/6 - 3/6)
= 5^(-1/6)
= 0.76472449133173
GOOD LUCK!
2007-12-30 21:20:27 · answer #3 · answered by Math Helper 3 · 0⤊ 0⤋
1. 2sqrt(2/3)
2. 6th root of 5^5= 6th root of 3125
2007-12-30 21:34:42 · answer #4 · answered by saejin 4 · 0⤊ 0⤋