Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in simplest form. $\newline$ $\sqrt{5}(7 - \sqrt{2})$

View step-by-step help

View step-by-step help

Simplify radical expressions using the distributive property

Full solution

Q. Multiply. Write your answer in simplest form.

\newline

\sqrt{5}(7 - \sqrt{2})

Distribute $\sqrt{5}$ : Distribute $\sqrt{5}$ across the terms inside the parentheses. $\sqrt{5}(7 - \sqrt{2}) = \sqrt{5} \times 7 - \sqrt{5} \times \sqrt{2}$
Multiply by $7$ : Multiply $\sqrt{5}$ by $7$ . $\sqrt{5} \times 7 = 7\sqrt{5}$
Multiply by $\sqrt{2}$ : Multiply $\sqrt{5}$ by $\sqrt{2}$ . $\sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10}$
Combine products: Combine the two products from the previous steps. $7\sqrt{5} - \sqrt{10}$
Check for simplification: Check if the expression can be simplified further. $\newline$ Since there are no like radical terms, the expression is already in simplest form. $\newline$ $7\sqrt{5} - \sqrt{10}$

More problems from Simplify radical expressions using the distributive property

Question

\newline

\sqrt{\frac{9}{25}}

\newline

Posted 2 months ago

Question

\newline

1,000

\text{ milligrams}

\_\_\_\_

\text{ grams}

Posted 2 months ago

Question

3

-gallon bottle of bleach costs

\$11.52

. What is the price per quart?

\newline

Posted 2 months ago

Question

Maureen can't wait to make chocolate chip zucchini bread with zucchini from her garden. Her recipe calls for

8

ounces of chocolate chips per loaf. If she has enough zucchini to make

4

loaves of zucchini bread, how many pounds of chocolate chips does she need?

\newline

Hint: There are

16

1

\newline

Write your answer as a whole number, decimal, or simplified fraction. Do not round.

\newline

Posted 2 months ago

Question

A whale is swimming due north at a speed of

30

miles per hour. Just

5

miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of

46

miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute.

\_\_\_\_

\_\_\_\_

Posted 2 months ago

Question

\newline

500

=

Posted 3 months ago

Question

\newline

2,000

=

Posted 3 months ago

Question

\newline

750

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago

Question

\newline

1,500

=

Posted 3 months ago