On multiplying and then simplifying 3∛2x² . 7 ∛32x⁴, we get, 84x⁶
1. Split the radicands in half. A number known as a radicand appears underneath the radical symbol.
2. To multiple radicands, multiply the integers as if they were whole numbers. Always keep the item beneath a single radical sign.
3. Use factoring to exclude any perfect squares from the radicand. To achieve this, check whether any perfect squares have the radicand as a factor.
4. Position the square root of the ideal square before the radical sign. Don't change the second component of the radical symbol.
5. Square the square's root. Sometimes it is necessary to multiply a square root by itself.
Given,
3∛2x² . 7 ∛32x⁴
⇒ [tex]21 (2^{1/3} ) x^{2+4} . 32^{1/3}[/tex]
⇒ [tex]21 (2^{1/3} ) x^{6} . 2^{5/3}[/tex]
⇒ [tex]21 (2^{1/3 + 5/3} ) x^{6}[/tex]
⇒ [tex]21 (2^{2} ) x^{6}\\84x^{6}[/tex]
To learn more about multiplying square roots from given link
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