Question

PLEASE HELP ITS CONFUSING!!!!!
Simplify the expression. square root of 10-4 square root of 10

Answer 1

hint:

let \(\large x = \sqrt{10}\)

Answer 2

so that means

\[\large \sqrt{10} - 4\sqrt{10}\]

turns into

\[\large x - 4x\]

Answer 3

do you see where I'm going with this?

Answer 4

no

Answer 5

what does x - 4x simplify to

Answer 6

3x

Answer 7

close, but not quite

Answer 8

im not sure

Answer 9

x - 4x is really the same as 1x - 4x

what is 1 - 4 equal to?

Answer 10

3

Answer 11

it's not positive though

Answer 12

1 - 4 is -3

Answer 13

you're subtracting in the wrong order

Answer 14

that means 1x - 4x = -3x

so x - 4x = -3x

Answer 15

oh ok i get that part now

Answer 16

and because we let \(\large x = \sqrt{10}\), we know that

x - 4x = -3x

turns into

\[\large \sqrt{10} - 4\sqrt{10} = -3\sqrt{10}\]

after you replace all the copies of 'x' with \(\large \sqrt{10}\)

Answer 17

So here's the complete step by step picture of what's going on


Let \(\large x = \sqrt{10}\)


Replace each copy of square root of 10 with x. Simplify. Then once everything is simplified, replace x with the square root of 10 again.



\[\large \sqrt{10} - 4\sqrt{10}\]

\[\large x - 4x\]

\[\large -3x\]

\[\large -3\sqrt{10}\]


================================================


So,


\[\large \sqrt{10} - 4\sqrt{10}\]


simplifies to


\[\large -3\sqrt{10}\]


In other words,


\[\large \sqrt{10} - 4\sqrt{10} = -3\sqrt{10}\]

Answer 18

wow thanks a bunch it makes a lot more sense now!

Answer 19

I'm glad it does