I'm working on A-Level maths indices problems, and I encountered this question:
"a) Write [imath]\sqrt{27} + \sqrt{3}[/imath] in the form [imath]\sqrt{a}[/imath]." - This I had no issue with. [imath]\sqrt{48}[/imath] was my answer.
Followed by:
"b) Without using decimal approximations, explain whether [imath]\sqrt{27} - \sqrt{20}[/imath] is greater or less than [imath]\sqrt{5} - \sqrt{3}[/imath]."
How would I go about doing this? My attempts haven't worked at all, I'd appreciate any help.
Thanks in advance.
"a) Write [imath]\sqrt{27} + \sqrt{3}[/imath] in the form [imath]\sqrt{a}[/imath]." - This I had no issue with. [imath]\sqrt{48}[/imath] was my answer.
Followed by:
"b) Without using decimal approximations, explain whether [imath]\sqrt{27} - \sqrt{20}[/imath] is greater or less than [imath]\sqrt{5} - \sqrt{3}[/imath]."
How would I go about doing this? My attempts haven't worked at all, I'd appreciate any help.
Thanks in advance.