Simplify.
$\sqrt{45 x^{21}}$

Answer

Expert–verified

Hide Steps

Answer

Combining these simplifications, the given expression simplifies to $3 x^{10} \sqrt{5 x}$ .

Steps

Step 1 ：The given expression is $\sqrt{45 x^{21}}$ .

Step 2 ：First, we can break down the number 45 into 9 and 5, where 9 is a perfect square. So, $\sqrt{45}$ can be simplified to $3 \sqrt{5}$ .

Step 3 ：Next, we simplify the variable $x^{21}$ . We can do this by dividing the exponent 21 by 2, which gives us 10 with a remainder of 1. This means that we can take $x^{10}$ out of the square root, and $x^{1}$ will remain inside the square root.

Step 4 ：Combining these simplifications, the given expression simplifies to $3 x^{10} \sqrt{5 x}$ .

Simplify.45x21

Answer

Popular Problems

Simplify.
$\sqrt{45 x^{21}}$