Can you simplify?

Added: 2026-05-12

[00:00:00]Just a quick one.

[00:00:03]We've been given to simplify square root of two open bracket x plus square root of eight close minus square root of two open bracket 4 y minus x close.

[00:00:19]So, we shall say solution.

[00:00:25]Solution and then we apply order of operation.

[00:00:31]So, let's copy what we have.

[00:00:33]That is a square root of two open bracket x plus uh square root of eight minus square root of two open bracket 4 y minus x close.

[00:00:54]So, this is what we have.

[00:00:56]Normally, what we do here is to get rid of the brackets by simply multiplying every term or everything or anything that is in front of the brackets.

[00:01:10]So, we shall say square root of two by x it will just give us square root of two x. Square root of two by square root of uh eight.

[00:01:23]This is square root of two multiplied by square root of uh eight.

[00:01:29]Next thing here will be square root of uh two, that's a negative negative square root of two by four. So, this is by four.

[00:01:39]4 y Here it will be plus because negative and negative will give us a positive and this will be square root of two by x.

[00:01:51]So, we simplify here it's giving us a square root of two x plus square root of uh two times eight. So, the way it is here, we've got square root of two multiplied by square root of eight.

[00:02:08]The two can be multiplied like I've done here.

[00:02:12]And then here we shall have uh four square root of two y when we multiply here.

[00:02:21]Plus square root of two x.

[00:02:26]We can uh group the like terms. So, we've got uh square root of two x plus square root of two x plus square root of uh 16. That's uh That's a two times eight will give us a 16 minus four square root of uh two y.

[00:02:48]Then from this point we can of course say this is giving us a two square root of two x. These are like terms, so there are two of them. That would be a two square root of two x plus four square root of 16 is a four minus four square root of uh two and the y there.

[00:03:13]So, we can leave our answer like this or we can say two square root of two x minus four square root of two y plus uh four.

[00:03:25]This is our answer. Thank you so much for watching. This has been Mr. Chamber Jacob. And bye-bye.