Simplifying Radical by Rationalizing Denominator - Conjugate

Simplifying Radical by Rationalizing Denominator - Conjugate
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[NTWL]

Another arcane process that serves no purpose today. As a matter of fact, in intergral calculus, a student often needs a radical in a demoninator to cancel one out in the integrand. I think I looked up the history on rationalizing the denominator, and if I remember correctly, about 300 years ago, some person created a table of values having something to do with radicals, but to find the value, the radical had to be in the numerator. Obviously, that need has long passed. Additionally, you cannot call it simplifying when you have actually added an additional operation to the whole thing.

[VsgSurya]

Sir it will not come like this we should cut like if 10 root by 5 =root 5 by root 5 = 10 root 2 by (root 5)power then next step will be like write the same value and cut the root and power the answer will be 10 root 2 by 5

[ghoulxgamer]

I'm confused to the 4th example, how did u get 3 from square root of 7 + 2 square root of 7?

[nerdyprude]

10:02 sir di po isusubtract ung 6-3 ?

[boing]

How is 3 times the square root of 2, 3?😭