Question

Simplifying radicals help?

Simplify 2/√5

A. 2/√5
B. √10
C. √10/5
D. 2√5/5

Simplify -11√122

A. -44√7
B. -176√7
C. -27√7
D. 4√7

Simplify 17√17 - 9√17

A. 8
B. 8√17
C. 26√17
D. 8√0

I just want the explanation to solve these, no one can tell me! :(

Answer 1

so this mean rationalizing denominator

yes ?

Answer 2

so for example

1/sqrt3 = sqrt3 /3

ok ?

Answer 3

for you can eliminate the radical from denominator you nee multiplie the numerator and the denominator by the radical from denominator
because on this way will get on denominator this radical squared what mean that the radical is eliminated on denominator

ok ?

hope that is understandably

Answer 4

so this mean that for the first exercise is right answer D.

ok ?

Answer 5

2 2 sqrt5 2sqrt5 2sqrt5
----- = ------ * ------- = ------------ = -------
sqrt5 sqrt5 sqrt5 sqrt5 *sqrt5 5

hope that now you can understandig right easy

ok ?

Answer 6

So you multiply the 2 numbers on each side of it?

Answer 7

\[\frac{2}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}}=\frac{2\sqrt{5}}{5}\]

Answer 8

The second one,
\[-11\sqrt{122}\]
is already in simple form. I can only assume there is a typo.

Answer 9

For the third one...if you want to add or subtract radicals, the radicands must be the same. If they are the same, simply add or subtract the coefficients so:
\[17\sqrt{17}-9\sqrt{17}=8\sqrt{17}\]

Answer 10

@mertsj & @jhonyy9 What about the second one? Its not a typo, but I am slowly catching on to this

Answer 11

Is the second one:
\[11\sqrt{121}\]