The two roots a + sqrt b and a - sqrt b are called conjugate radicals.
Solution:
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 ⇒ [tex]a+\sqrt{b}[/tex] [ since sqrt means square root]
Now second radical ⇒ a - sqrt b ⇒ [tex]a-\sqrt{b}[/tex]
We have to find the relation between [tex]a+\sqrt{b} \text { and } a-\sqrt{b}[/tex]
Now, if observe [tex]a+\sqrt{b}[/tex] is conjugate of [tex]a-\sqrt{b} \text { as }(a+\sqrt{b})(a-\sqrt{b})=a^{2}-b[/tex]
[ where radical is eliminated]
Hence, the two roots a +sqrt b and a- sqrt b are called conjugate radicals
