Question

select the correct answer.

what is this expression in simplified form?

\\3\sqrt{10} + 17\sqrt{10}\\

• \\(20\sqrt{10}\\)
• \\(20\sqrt{20}\\)
• \\(40\sqrt{5}\\)
• \\(200\\)

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Identify like terms

The given expression is:

$$ 3\sqrt{10} + 17\sqrt{10} $$

Both terms contain the same radical part, \( \sqrt{10} \), which means they are like terms and can be added together.

Step 2: Combine the coefficients

Add the coefficients outside the radicals:

$$ (3 + 17)\sqrt{10} = 20\sqrt{10} $$

Answer:

\( 20\sqrt{10} \)