To simplify the expression $4\sqrt{3}\cdot\sqrt{72}$, follow these steps:

1. First, simplify $\sqrt{72}$. The prime factorization of 72 is $2^3 \cdot 3^2$. So, $\sqrt{72}$ simplifies to $6\sqrt{2}$.

2. Now, substitute $\sqrt{72}$ with $6\sqrt{2}$ in the original expression. So, $4\sqrt{3}\cdot\sqrt{72}$ becomes $4\sqrt{3}\cdot6\sqrt{2}$.

3. Multiply the numbers outside the square roots together and the numbers inside the square roots together. So, $4\sqrt{3}\cdot6\sqrt{2}$ becomes $24\sqrt{6}$.

So, the simplified expression of $4\sqrt{3}\cdot\sqrt{72}$ is $24\sqrt{6}$.

Question

To simplify the expression $4\sqrt{3}\cdot\sqrt{72}$, follow these steps:

1. First, simplify $\sqrt{72}$. The prime factorization of 72 is $2^3 \cdot 3^2$. So, $\sqrt{72}$ simplifies to $6\sqrt{2}$.

2. Now, substitute $\sqrt{72}$ with $6\sqrt{2}$ in the original expression. So, $4\sqrt{3}\cdot\sqrt{72}$ becomes $4\sqrt{3}\cdot6\sqrt{2}$.

3. Multiply the numbers outside the square roots together and the numbers inside the square roots together. So, $4\sqrt{3}\cdot6\sqrt{2}$ becomes $24\sqrt{6}$.

So, the simplified expression of $4\sqrt{3}\cdot\sqrt{72}$ is $24\sqrt{6}$.

Knowee AI · Accepted Answer

To simplify the expression $4\sqrt{3}\cdot\sqrt{72}$, follow these steps:

1. First, simplify $\sqrt{72}$. The prime factorization of 72 is $2^3 \cdot 3^2$. So, $\sqrt{72}$ simplifies to $6\sqrt{2}$.

2. Now, substitute $\sqrt{72}$ with $6\sqrt{2}$ in the original expression. So, $4\sqrt{3}\cdot\sqrt{72}$ becomes $4\sqrt{3}\cdot6\sqrt{2}$.

3. Multiply the numbers outside the square roots together and the numbers inside the square roots together. So, $4\sqrt{3}\cdot6\sqrt{2}$ becomes $24\sqrt{6}$.

So, the simplified expression of $4\sqrt{3}\cdot\sqrt{72}$ is $24\sqrt{6}$.

Simplify $4\sqrt{3}\cdot\sqrt{72}$4√3·√72 .The simplified expression is

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Simplify $4\sqrt{3}\cdot\sqrt{72}$4√3·√72​ .The simplified expression is

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Simplify $4\sqrt{3}\cdot\sqrt{72}$4√3·√72 .The simplified expression is