Please help me with a SURDS question (C1)
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Please help me with a SURDS question (C1)

[From: ] [author: ] [Date: 12-01-01] [Hit: ]
......
Please show me how to simplify the following:

(2+√5)(5-√20)

-
expand the brackets:
10-2√20+5√5-10
simplify:
10-10-2√20+5√5
-2√20+5√5
breakdown √20 into √4√5 then 2√5
-2(2√5)+5√5
-4√5+5√5
and therefore the answer is √5
hope thats right!

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Hi,

(2+√5)(5-√20) =

10 - 2√20 + 5√5 - √100 =

10 - 4√5 + 5√5 - 10 = √5 <==ANSWER

I hope that helps!! :-)

-
(2 + √5)(5 - √20)

= (2+√5)(5 - √(4*5))

= (2 + √5)(5 - 2√5 )

= 10 - 4√5 + 5√5 - 10

= √5

-
(2+√5)(5-√20)
= 10-2√20+5√5-√100
= 10-4√5+5√5-10
= -4√5+5√5
=√5
1
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