To simplify the expression $\sqrt[3]{192}+5\sqrt[3]{64}$, we first need to simplify the cube roots.

The cube root of 192 can be simplified by finding the prime factorization of 192, which is $2^6 * 3$. We can then group these factors into triples, which gives us $2^2 * \sqrt[3]{3}$, or 4 cube root of 3.

The cube root of 64 is 4, because $4^3 = 64$.

So, the simplified expression is $4\sqrt[3]{3} + 5*4$, or $4\sqrt[3]{3} + 20$.

Question

To simplify the expression $\sqrt[3]{192}+5\sqrt[3]{64}$, we first need to simplify the cube roots.

The cube root of 192 can be simplified by finding the prime factorization of 192, which is $2^6 * 3$. We can then group these factors into triples, which gives us $2^2 * \sqrt[3]{3}$, or 4 cube root of 3.

The cube root of 64 is 4, because $4^3 = 64$.

So, the simplified expression is $4\sqrt[3]{3} + 5*4$, or $4\sqrt[3]{3} + 20$.

Knowee AI · Accepted Answer

To simplify the expression $\sqrt[3]{192}+5\sqrt[3]{64}$, we first need to simplify the cube roots.

The cube root of 192 can be simplified by finding the prime factorization of 192, which is $2^6 * 3$. We can then group these factors into triples, which gives us $2^2 * \sqrt[3]{3}$, or 4 cube root of 3.

The cube root of 64 is 4, because $4^3 = 64$.

So, the simplified expression is $4\sqrt[3]{3} + 5*4$, or $4\sqrt[3]{3} + 20$.

Simplify $\sqrt[3]{192}+5\sqrt[3]{64}$3√192+53√64 .The simplified expression is .

Question

Simplify $\sqrt[3]{192} + 5\sqrt[3]{64}$

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Simplify $\sqrt[3]{192}+5\sqrt[3]{64}$3√192+53√64​ .The simplified expression is .