The Student Room Group
Reply 1
Mist786
I've been trying to figure out this question on surds for half an hour

Any help?

1√28 – 2√63 +√7

Pos Rep to the best soultion

28=27\sqrt{28}=2\sqrt{7}
similarly what is root 63

Spoiler



Can you simplify further?
Reply 2
Make everything respect to 7\sqrt 7

28=27\sqrt 28 = 2\sqrt7

263=2×37-2\sqrt 63 = -2\times3\sqrt7

so your equation would be

67+27+7-6\sqrt 7 + 2\sqrt 7 + \sqrt 7
Mist786
I've been trying to figure out this question on surds for half an hour

Any help?

1√28 2√63 +√7

Pos Rep to the best soultion


1√28 = 1√(4 x 7) = 2√7
2√63 = 2√(7 x 9) = 6√7
√7=√7
so 1√28 2√63 +√7 = 2√7-6√7+√7= -3√7
how do you peeps get these maths symbols in your posts?
Reply 5
DickDastardly
how do you peeps get these maths symbols in your posts?


I copy the symbol from microsoft word :biggrin:
Its like getting all fractions with the same denominator. First simplify the surds down so all have root 7 then do what you like with them.
Reply 7
rushhour72
1√28 = 1√(4 x 7) = 2√7
2√63 = 2√(7 x 9) = 6√7
√7=√7
so 1√28 2√63 +√7 = 2√7-6√7+√7= -3√7


How do you get -3?
Isn't 2-6=-4
Reply 8
DickDastardly
how do you peeps get these maths symbols in your posts?


Using this thing (I don't know what its properly called) called latex. Learn about it here: http://www.thestudentroom.co.uk/wiki/LaTex
Mist786
How do you get -3?
Isn't 2-6=-4


cos u gotta add the √7 to the -4√7
Reply 10
128263+7[br][br][br]Splitinto[128]and[263]and[7][br][br][br]128=147=1×27=27[br][br][br]263=297=2×37=67[br][br][br]7=7[br][br][br]Nowputtherewrittenvaluesbackintotheoriginalequation[br][br][br]2767+7=371\sqrt{28}-2\sqrt63 +\sqrt7[br][br][br]Split into [1\sqrt{28}] and [2\sqrt63] and [\sqrt7][br][br][br]1\sqrt28 = 1\sqrt4\sqrt7 = 1\times2\sqrt7 = 2\sqrt7[br][br][br]2\sqrt63 = 2\sqrt9\sqrt7 = 2\times3\sqrt7 = 6\sqrt7[br][br][br]\sqrt7 = \sqrt7[br][br][br]Now put the rewritten values back into the original equation[br][br][br]2\sqrt7-6\sqrt7+\sqrt7 = -3\sqrt7

Hope that's clear enough!
Reply 11
Thanks for the help x
Mist786
Thanks for the help x


so wheres our rep? x
Reply 13
rushhour72
so wheres our rep? x


You seem very eagar for rep :p:
You'll have wait as I have to give rep to others
Dont worry, you will get rep sometime this week
Oh, if I forget then PM me x

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