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

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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. $\newline$ $1.842 - 3.257$

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