Simplify expression by rationalizing the denominator
√ 2/5
i have to choose from
√ 10/5
√ 50/5
√ 10/2
2007-05-03 18:33:18 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I'm assuming that your square root in the question is over the entire fraction - 2/5, not just 2.
To rationalize a denominator that is a sqrt, you need to get rid of the sqrt. To do this without changing the value of the fraction, use the trick of multiplying the entire expression by 1. In this case, multiply by sqrt5/sqrt5. This makes your denominator 5. Then, since you have to multiply the numerator by the same value so as not to change the original fraction, you get sqrt2 * sqrt5, which equals sqrt10. The answer is then (sqrt10)/5.
2007-05-03 18:38:56 · answer #1 · answered by Sci Fi Insomniac 6 · 0⤊ 0⤋
Multiply the denominator and numerator by â 5
â 2 times â 5 = â 10
â 5 times â 5 = â 25 = 5
so your answer would be â 10/5 ... Number 1 !!
2007-05-03 18:40:00 · answer #2 · answered by AnGeL 4 · 0⤊ 0⤋
Assuming question reads as:-
â(2/5) = â2 / â5 = (â5.â2) / 5 = (â10) / 5
2007-05-03 18:43:10 · answer #3 · answered by Como 7 · 0⤊ 0⤋
#1
2007-05-03 18:36:22 · answer #4 · answered by hookemhornsfan1991 2 · 0⤊ 0⤋
first one
2007-05-03 18:50:18 · answer #5 · answered by hierro_muerte 2 · 0⤊ 0⤋