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Which is a like radical to 3 square root 54 after simplifying?
5 months ago
Q:
Which is a like radical to 3 square root 54 after simplifying?
Accepted Solution
A:
Simplify [tex] \sqrt[3]{54} [/tex]First we write prime factor for 54[tex] \frac{54}{2} [/tex] = 27[tex] \frac{27}{3} [/tex] = 9[tex] \frac{9}{3} [/tex] = 3So 54 = 2 * 3 * 3 * 3we know [tex] \sqrt[3]{3 * 3 * 3} [/tex] = 3[tex] \sqrt[3]{54} [/tex] = [tex] \sqrt[3]{2 * 3 * 3 * 3} [/tex]= 3 * [tex] \sqrt[3]{2} [/tex] = 3[tex] \sqrt[3]{2} [/tex]