Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$\sqrt{7-\sqrt{13}}-\sqrt{7+\sqrt{13}}$

View step-by-step help

View step-by-step help

Multiply radical expressions

Full solution

Q.

\sqrt{7-\sqrt{13}}-\sqrt{7+\sqrt{13}}

Evaluate Inner Square Roots: Step $1$ : Evaluate the inner square roots. $\newline$ Calculate $\sqrt{13}$ .
Substitute Values into Expression: Step $2$ : Substitute the values into the expression. $\newline$ Substitute $\sqrt{13} \approx 3.605$ into the expression. $\newline$ $\sqrt{7 - 3.605} - \sqrt{7 + 3.605}$
Calculate Square Roots: Step $3$ : Calculate each square root. $\newline$ Calculate $\sqrt{7 - 3.605}$ and $\sqrt{7 + 3.605}$ . $\newline$ $\sqrt{3.395} \approx 1.842$ and $\sqrt{10.605} \approx 3.257$
Subtract Results: Step $4$ : Subtract the results. $\newline$ Subtract the two square roots calculated. $\newline$ $1.842 - 3.257$

More problems from Multiply radical expressions

Question

Multiply. Write your answer in simplest form.

\newline

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

\newline

Posted 1 month ago

Question

\newline

\sqrt{125}

Posted 2 months ago

Question

Add. Write your answer in simplest form.

\newline

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

\newline

Posted 2 months ago

Question

Multiply. Write your answer in simplest form.

\newline

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

Posted 2 months ago

Question

Simplify. Rationalize the denominator.

\newline

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

\newline

Posted 2 months ago

Question

Simplify. Assume

x

is greater than or equal to zero.

\newline

\sqrt{20x^3}

Posted 2 months 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