Multiply. Write your answer in simplest form. $ \sqrt{2} \times (3 - \sqrt{2}) $

Distribute $ \sqrt{2} $: Distribute $ \sqrt{2} $ across the expression inside the parentheses. We need to multiply $ \sqrt{2} $ by each term inside the parentheses $ (3 - \sqrt{2}) $. $ \sqrt{2} \times 3 - \sqrt{2} \times \sqrt{2} $Multiply first term: Perform the multiplication for the first term. $ \sqrt{2} \times 3 $ gives us $ 3\sqrt{2} $.Multiply second term: Perform the multiplication for the second term. $ \sqrt{2} \times \sqrt{2} $ gives us $ 2 $ because the square root of a number times itself equals the number.Combine results: Combine the results from Step 2 and Step 3. $ 3\sqrt{2} - 2 $Write final expression: Write down the final expression. The final expression is $ 3\sqrt{2} - 2 $.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $\sqrt{2} \times (3 - \sqrt{2})$

View step-by-step help

Home

Math Problems

Grade 8

Positive and negative square roots

Full solution

Q. Multiply. Write your answer in simplest form.

\newline

\sqrt{2} \times (3 - \sqrt{2})

Distribute $\sqrt{2}$ : Distribute $\sqrt{2}$ across the expression inside the parentheses. $\newline$ We need to multiply $\sqrt{2}$ by each term inside the parentheses $(3 - \sqrt{2})$ . $\newline$ $\sqrt{2} \times 3 - \sqrt{2} \times \sqrt{2}$
Multiply first term: Perform the multiplication for the first term. $\newline$ $\sqrt{2} \times 3$ gives us $3\sqrt{2}$ .
Multiply second term: Perform the multiplication for the second term. $\newline$ $\sqrt{2} \times \sqrt{2}$ gives us $2$ because the square root of a number times itself equals the number.
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $3\sqrt{2} - 2$
Write final expression: Write down the final expression. $\newline$ The final expression is $3\sqrt{2} - 2$ .