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Maths > Surds and Indicies > Flashcards

Surds and Indicies Flashcards

1
Q

What are surds?

A

A way to precisely write a irrational number

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2
Q

RootA x RootB =?

A

RootAB

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3
Q

RootA/Rootb =?

A

RootA/B

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4
Q

RooatA + RootB =?

A

Does not work

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5
Q

RootA - RootB =?

A

Does not work

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6
Q

RootA +RootA =?

A

2RootA

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7
Q

2RootA-RootA =?

A

RootA

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8
Q

How do you simplify surds?

A
  1. Find 2 factors that go into the rooted number - one being the largest perfect square which goes into it.
  2. Re write the surd as the two factors multiplied together - e.g. RootZxY
  3. Root the factor which is the perfect square out.
  4. This should leave you with an interger on the outside, multiplying a surd.
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9
Q

Can you collect surds with the same base?

A

Yes as they are like terms.

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10
Q

How do you rationalise a fraction with a surd as the denominator? ( In this form - 10/3Root3)

A

Multiply both the numerator and denominator by the surd in the denominator.

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11
Q

How do you rationalise a fraction with a surd on the denominator in this form - 10/5 + Root5?

A

Multiply both the numerator and denominator by the whole denominator, however change the plus or minus sign to the opposite - to allow the root to be cancelled out (the difference of 2 squares rule)

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12
Q

What are indicies?

A

The number that is the power to something else - e.g. 2^5

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13
Q

a^m x a^n =

A

a^m+n

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14
Q

a^m/a^n =

A

a^m-n

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15
Q

a^0 =

A

1

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16
Q

a^-m =

A

1/a^m

17
Q

a^1/n =

A

RootA

18
Q

a^3/n

A

nRootA^3

19
Q

(a^m)^n

A

a^m x n

20
Q

(a x b)^n

A

a^n x b^n

21
Q

How do you simplify sums and differences of fractional powers?

A
  1. Write the whole equation in a common simplified form - e.g in (a^m)^n or surd form.
  2. Factor out any common factor.
  3. Then continue simplifying until in most common form.
22
Q

What index is used for Deka

A

1

23
Q

What index is used for Hecto

A

2

24
Q

What index is used for Kilo

A

3

25
Q

What index is used for Mega

A

6

26
Q

What index is used for Giga

A

9

27
Q

What index is used for Tera

A

12

28
Q

What index is used for Peta

A

15

29
Q

What index is used for Deci

A

-1

30
Q

What index is used for Centi

A

-2

31
Q

What index is used for Milli

A

-3

32
Q

What index is used for Micro

A

-6

33
Q

What index is used for Nano

A

-9

34
Q

What index is used for Pico

A

-12

35
Q

What index is used for Femto

A

-15

Maths (4 decks)

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