Product of [tex]7\sqrt{5x^{3} } .9x\sqrt{24x}[/tex] in simplest radical form is [tex]126x^{3} \sqrt{30}[/tex].
What is simplest radical form?
Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Given
[tex]7\sqrt{5x^{3} } .9x\sqrt{24x}[/tex]
= [tex](7\times9)x\sqrt{5x^{3} .24x}[/tex]
= [tex]63x\sqrt{120x^{4} }[/tex]
= [tex]63x\sqrt{4\times30x^{4} }[/tex]
= [tex](63\times2)x.\sqrt{x^{4} } \sqrt{30}[/tex]
= [tex]126x^{3} \sqrt{30}[/tex]
Product of [tex]7\sqrt{5x^{3} } .9x\sqrt{24x}[/tex] in simplest radical form is [tex]126x^{3} \sqrt{30}[/tex].
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