can u explain what are surds and the subtopics
simplest form of surd
similar or like surds
comparison of surds
operation of like surds
rationalization of surds
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similar or like surds
Definition of Similar Surds: Two or more surds are said to be similar or like surds if they have the same surd-factor. or, Two or more surds are said to be similar or like surds if they can be so reduced as to have the same surd-factor.
comparsion of surds
In Mathematics, surds are the values in square root that cannot be further simplified into whole numbers or integers. Surds are irrational numbers. The examples of surds are √2, √3, √5, etc., as these values cannot be further simplified.
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SURDS
- Surds are the square roots (√) of numbers that cannot be simplified into a whole number. For eg: √3 √7 are surds, where as √4 and √144 are NOT surds.
SIMPLEST FORM
- A surd is said to be in its simplest form when the number under the root sign has no square factors.
For example √72 can be reduced to
=√4×18
=2√18
=2√9×2
=2×3√2
=6√2 is the SIMPLEST form of √72
SIMILAR/LIKE SURDS
- Two or more surds are said to be similar or like surds if they can be so reduced as to have the same surd-factor.
For example: √5, 7√5, 10√5, -3√5
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