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Today's #topic

SURDS

Numbers like 2,2.4,0.3.0.6,√64 can be expressed as exact fractions or ratios:5/1,1/3 ,3/5,8 . These are rational numbers.
But Numbers that cannot be written in ratio form are known as irrational numbers.
For example **π= 3.1415........,
Other example of irrational numbers are √5= 2.236067977..., and √7 = 2.645751....,
Numbers that are irrational are called SURD.
Two or more surd are called surds if the numbers under square root sign and the same, for example **√5 , 3√3 , √3/2 are called surds.

Simplification of surds

To simplify a surd, where possible, Express the number under the square root sign as a product of two factors, one which is a perfect square.
Then simplify the surd by taking the square root of the perfect square.
EXAMPLE 1
To simplify √20
**step **
Express the number under the square root sign as a product of two factors as in
√20= √4x√5
then simplify
√20= 2x√5
=2√5

EXAMPLE 2
To simplify 3√50
step
Express the number under the square root sign as a product of two factors as in
3√50= 3x√25x√2
Notice that this is more complex than the first one
You should not be confused by the 3. It is just multiplied by the √50.
So you can just solve that of √50 and multiplied by 3
3√50= 3x5x√2
=15√2

YOU CAN ASK ANY QUESTION IN THE COMMENT SECTION
SOLVE THIS QUESTION IN THE COMMENT SESSION
SIMPLIFY THE FOLLOWING
1, √162
2, √1000
3, 2√500