Simply put, expressing a radical in its lowest extreme form implies simplifying it and that there are no more squared roots, cube roots, 4th roots, and so on to find. This also entails eliminating any radical from a fraction's base, and further calculation can be defined as follows:
Given:
[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]
To find:
simplest radical form=?
Solution:
[tex]\to \bold{6x\sqrt{14x} - 5\sqrt{56x^3}}[/tex]
[tex]\to \bold{6x\sqrt{14x} - 5 \sqrt{4 \times 14 \times x \times x \times x}}\\\\\to \bold{6x\sqrt{14x} - 5 \times 2x \sqrt{ 14 x}}\\\\\to \bold{6x\sqrt{14x} -10x \sqrt{ 14 x}}\\\\\to \bold{\sqrt{14x} (6x-10x)}\\\\\to \bold{\sqrt{14x} (-4x)}\\\\\to \bold{-4x\sqrt{14x} }\\\\[/tex]
Learn more:
brainly.com/question/19792151
