Question

Find the value of 2 times the square root of 3, all over the sqaure root of 10 in simplest form.

Answer 1

\[\frac{ 2\sqrt{3} }{ \sqrt{10} }\]
is this the question?

Answer 2

Yes

Answer 3

Rationalize the denominator, by multiplying the numerator and denominator by the radical in the denominator:
\[\frac{ 2\sqrt{3} *\sqrt{10}}{ \sqrt{10}*\sqrt{10} }\]

Answer 4

This simplifies to: \[\frac{ 2\sqrt{30} }{ \sqrt{100} }\]

Answer 5

What is the square root of 100?

Answer 6

50? Im not quite sure...

Answer 7

What number can you square to give you 100? or what number can u multiply by itself to give you 100

Answer 8

10

Answer 9

good so now we have:\[\frac{ 2\sqrt{30} }{ 10 }\]
Can you simplify this and tell me what you got?

Answer 10

2 sqrt 3 over 5?

Answer 11

Nope you can only divide a radical by a radical. Therefore it is incorrect to divide 30 by 10. But you can simplify the numbers that are not radicals, by dividing 2 by 2 in the numerator and 10 by 2 in the denominator: You should get as your answer - \[\frac{ \sqrt{30} }{ 5 }\]

Answer 12

Do you understand how I got this?

Answer 13

Oh Okay... yeah i got it now, thanks!