2) Surds

Question 1

How else can square root of a*b be written?

Answer 1

sqrt of a *sqrt of b

Question 2

How else can square root of a/b be written?

Answer 2

sqrt of a over sqrt of b

Question 3

How else can square root of a be written?(2 ans)

Answer 3

(sqrt a)^2 or sqrt a *sqrt a

Question 4

Find (2sqrt 5+ 3sqrt 6)^2

Answer 4

(2sqrt 5+ 3sqrt 6)^2=(2sqrt 5+ 3sqrt 6)(2sqrt 5+ 3sqrt 6)
=(2sqrt 5)^2 +(2(2sqrt 5)(3sqrt 6))+ (3sqrt 6)^2
=(2^2sqrt 5^2) +(22sqrt 53sqrt 6)+ (3^2sqrt 6^2)
=(45)+(12sqrt30)+(9*6)
=35+12sqrt30+54=89 +12sqrt30

Question 5

How do you rationalize the denominator?

Answer 5

remove the surds in the lower half by multiplying by that surd other that surd so it has the value one

Question 6

How do you rationalize the denominator of the form 1)a+sqrtb

2) a-sqrtb

Answer 6

multiply

1) multiply by a-sqrtb over a-sqrtb
2) multiply by a+sqrtb over a+sqrtb

Question 7

need to add more flashcard

1) on proving flashcard 1-3 = what I say they equal
2) the dif. methods to simplify and rationalize the denominator

Answer 7

yes