Learning edition 2: MATHEMATICS
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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
CORRECT ANSWER WILL BE UPVOTED
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No 1 answer is 9√2
The answer seems like
You do not need to put #peakd as a topic-tag ... there is no real benefit and the post is not about PeakD.com so there really isn't a reason to. We are likely the only account to search for posts with the topic tag #peakd so it really doesn't benefit you much. We suggest you use that space for another topic tag that will help your post more and is more related to the topic of your post.
I hope this has been a helpful educative comment.