Jessica E.
asked • 02/29/20Rationalize the Denominator 16/√8.
-In the simplest form.
-Please help (:
Edward A. answered • 02/29/20
High School Math Whiz Grown Up--I've even tutored my grandchildren
Jessica, first you want to multiply both top and bottom by a number that makes the denominator the square root of a perfect square.
Then divide top and bottom by any common factor. Then you’re done.
if you have any questions, please ask.
Teresita H. answered • 02/29/20
Mathematics Educator for ALL
4 sq root of 2
Edward A.
Jessica, the problem starts with a denominator of sqrt(8). Since 8 is not a perfect square, you need to multiply it by something that makes into a perfect square. What can you multiply 8 by, to make it a perfect square? The answer is 2, because 2 x 8 = 16, which is a perfect square ( of 4). But you can’t just multiply the denominator by something, you need to multiply the numerator by the same amount, in order to keep the overall value equal. So, multiply top and bottom by sqrt(2). This changes 16 / sqrt(8) into 16sqrt(2) / sqrt(16) Since sqrt(16) = 4, this becomes 16sqrt(2) / 4 Now, can you simplify this? Yes, divide top and bottom by 4, and you get 4sqrt(2)03/02/20
Get a free answer to a quick problem.
Most questions answered within 4 hours.
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Answers · 5
Answers · 9
Answers · 2
Answers · 8
Answers · 7
Shefali J.
5.0 (1,222)
Drew L.
5.0 (1,221)
David J.
5 (748)
Jessica E.
how did u get that? (:02/29/20