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. $\newline$ $-\sqrt{5}(-4 - \sqrt{5})$

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}(-4 - \sqrt{5})

Distribute and Multiply: Distribute $-\sqrt{5}$ to both terms inside the parentheses.-\sqrt{\(5\)}(\(-4 - \sqrt{ $5$ }) = -\sqrt{ $5$ }( $-4$ ) - \sqrt{ $5$ }(-\sqrt{ $5$ })
Multiply by $-4$ : Multiply $-\sqrt{5}$ by $-4$ . $-\sqrt{5}\cdot(-4) = 4\sqrt{5}$
Multiply by $-\sqrt{5}$ : Multiply $-\sqrt{5}$ by $-\sqrt{5}$ .
$-\sqrt{5}\times(-\sqrt{5})$
= $\sqrt{5}\times\sqrt{5}$
= $5$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $4\sqrt{5} + 5$

More problems from Simplify radical expressions using the distributive property

Question

Find the real-number root.

\newline

\sqrt{16}

\newline

\newline

Write your answer in simplified form.

\newline

\_\_\_\_

Posted 3 months ago

Question

Find the real-number root.

\newline

\sqrt{\frac{9}{16}}

\newline

Simplify your answer and write it as a decimal or as a proper or improper fraction.

\newline

\_\_\_\_\_

Posted 3 months ago

Question

Find the real-number root using a calculator. Round your answer to the nearest thousandth.

\newline

\newline

Posted 3 months ago

Question

Multiply. Write your answer in simplest form.

\newline

\sqrt{273} \times \sqrt{42}

\newline

Posted 2 months ago

Question

\newline

\sqrt{\frac{63}{4}}

\newline

Posted 3 months ago

Question

Simplify. Rationalize the denominator.

\newline

\frac{-4}{9 - \sqrt{2}}

\newline

Posted 3 months ago

Question

z

\newline

16 = \sqrt{z}

\newline

z =

Posted 3 months ago

Question

Simplify the radical expression.

\sqrt{14x^{14}}

Write your answer in the form

A

\sqrt{B}

A\sqrt{B}

A

B

are constants or expressions in

x

. Use at most one radical in your answer, and at most one absolute value symbol in your expression for

A

Posted 3 months ago

Question

Simplify the radical expression.

\newline

\sqrt{12x^{12}}

\newline

Write your answer in the form

A

\sqrt{B}

A\sqrt{B}

A

B

are constants or expressions in

x

. Use at most one radical in your answer, and at most one absolute value symbol in your expression for

A

\newline

\underline{\hspace{3cm}}

Posted 3 months ago

Question

What is the value of

\sin \left(\frac{5 \pi}{6}\right) ?

\newline

1

\newline

-\frac{\sqrt{3}}{2}

\newline

-\frac{\sqrt{2}}{2}

\newline

\frac{1}{2}

\newline

150

Posted 4 months ago