Which number produces a rational number when added by 1/5
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The two roots a + sqrt b and a - sqrt b are called conjugate radicals.
<u>Solution:</u>
Given that the two roots a + sqrt b and a - sqrt b are called ______ radicals.
Now let us write the each of the given two radicals in mathematical form.
So, first radical ⇒ a + sqrt b ⇒ [ since sqrt means square root]
Now second radical ⇒ a - sqrt b ⇒
We have to find the relation between
Now, if observe is conjugate of
[ where radical is eliminated]
Hence, the two roots a +sqrt b and a- sqrt b are called conjugate radicals