like surds 20 examples
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Answer:
Two or more surds are said to be similar or like surds if they have the same surd-factor. ... For example 2–√222, 22–√2222, 52–√2522, 72–√2722 are similar surds as all the surds contain same irrational factor 2–√222. So the order of the surds and the radicands both should be same for similar surds.
Explanation:
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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 2√2, 22√2, 52√2, 72√2 are similar surds as all the surds contain same irrational factor 2√2. ...
- Consider the following surds 22√3, 42√27, 72√243, 52√75.
- 42√27 = 42√9×3 = 42√32×3= 122√3.
Like surds are those surds that have the same radicand (In \[\sqrt a \] \[ - \] \[a\] is the radicand). Unlike surds are those surds which have different radicand.
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. If we further simply them, we get decimal values, such as: √2 = 1.4142135…
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