Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Add. Write your answer in simplest form. $\newline$ $-2\sqrt{5} + 9\sqrt{5}$

View step-by-step help

View step-by-step help

Add and subtract radical expressions

Full solution

Q. Add. Write your answer in simplest form.

\newline

-2\sqrt{5} + 9\sqrt{5}

Combine like terms: Combine the like terms $-2\sqrt{5}$ and $9\sqrt{5}$ . $\newline$ Since both terms have the same radical part, $\sqrt{5}$ , we can add the coefficients directly. $\newline$ $-2\sqrt{5} + 9\sqrt{5} = (-2 + 9)\sqrt{5}$
Simplify expression: Simplify the expression $(-2 + 9)\sqrt{5}$ . Perform the addition inside the parentheses. $(-2 + 9)\sqrt{5} = 7\sqrt{5}$ This is the simplest form since $7$ and $5$ are not perfect squares and have no common factors.

More problems from Add and subtract radical expressions

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