Question

Which is equivalent to 5√1,215x

Answer 1

Answer: $5(1,215x)^{\frac{1}{2}}$

Step-by-step explanation:}

To solve this problem you can apply the proccedure shown below:

1. By definition, you have that:

$\sqrt[n]{a}=a^{{\frac{1}{n}}$

2. Therefore, keeping the above on mind, you can find an equivalent expression of $5\sqrt{1,215x}$ as following:

$5\sqrt{1,215x}=5(1,215x)^{\frac{1}{2}}$

3. Then, an equivalent expression is:

$5(1,215x)^{\frac{1}{2}}$

Answer 2

Answer with explanation

The expression whose equivalent expression we have to find is:

  $\Rightarrow 5 \sqrt{1215 x}\\\\\text{Following are the equivalent expression}\\\\1.\rightarrow 5 \sqrt{243 \times 5\times x}\\\\2.\rightarrow 5 \times\sqrt{3\times 3\times 3\times 3\times 3\times 5 \times x}\\\\3.\rightarrow 5 \times 3\times 3 \times \sqrt{15 x}\\\\ 4.\rightarrow 45 \sqrt{15 x}\\\\5. \rightarrow 45 \times (15)^{\frac{1}{2}} \times x^{\frac{1}{2}$