Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write in the form
a+bsqrt3 :
a)
2(3-sqrt3)-3(1-sqrt3)

Write in the form $a+b \sqrt{3}$ : $\newline$ $2(3-\sqrt{3})-3(1-\sqrt{3})$

View step-by-step help

View step-by-step help

Simplify radical expressions using the distributive property

Full solution

Q. Write in the form

a+b \sqrt{3}

:

\newline

2(3-\sqrt{3})-3(1-\sqrt{3})

Distribute numbers in parentheses: Distribute the numbers inside the parentheses. $\newline$ $2(3 - \sqrt{3}) - 3(1 - \sqrt{3}) = 6 - 2\sqrt{3} - 3 + 3\sqrt{3}$
Combine like terms: Combine like terms. $\newline$ $(6 - 3) + (-2\sqrt{3} + 3\sqrt{3}) = 3 + \sqrt{3}$

More problems from Simplify radical expressions using the distributive property

Question

Multiply. Write your answer in simplest form.

\newline

\sqrt{15} \times \sqrt{2}

\newline

Posted 1 month ago

Question

\newline

\sqrt{125}

Posted 1 month ago

Question

Add. Write your answer in simplest form.

\newline

-6\sqrt{3} + 7\sqrt{3}

\newline

Posted 1 month ago

Question

Multiply. Write your answer in simplest form.

\newline

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

Posted 1 month ago

Question

Simplify. Rationalize the denominator.

\newline

`(-7)/(2 + \sqrt{5}\)`

\newline

Posted 1 month ago

Question

Simplify. Assume

x

is greater than or equal to zero.

\newline

\sqrt{20x^3}

Posted 1 month ago

Question

(1+\sqrt{2})^{7}+(1-\sqrt{2})^{7}

Posted 1 month ago

Question

\sqrt{-1} \cdot \sqrt{-1}

Posted 1 month ago

Question

\newline

(\sqrt{i})^{2}

Posted 1 month ago

Question

\int(2x+6)^5\,dx

Posted 1 month ago