surds

Question 1

what is the first two things we can do to a surd

Answer 1

1. leave a line
2. use our calculator to find the answer

Question 2

what do we do if there is a coefficient in front of the surd

Answer 2

we leave the coefficient alone

Question 3

what do we do once we have the answer from our calculator

Answer 3

we now will work backwards to fill in the line that we left opened

Question 4

what do we do to fill in this open line

Answer 4

1. we look at our answer and square the coefficient
2. we then take the number in the surd and multiply it with the answer for our coefficient squared
3. our multiplication sum must equal the original number inside the surd from the question

Question 5

what do we do to the coefficients at the end

Answer 5

once they have the same surd we can now work them out in a sum

Question 6

what do we do when we have an x and y

Answer 6

we do not use the calculator method.

we must break down each x and y value to either an exponent that can be squared or an exponent of 1

Use a number that can divide by two

Question 7

what happens to an exponent inside of a surd

Answer 7

it divides by 2 in a square

and by 3 in a cube