Evaluate square root of 11( square root of 6- square root of 5)

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Trigonometry

$\sqrt{11} (\sqrt{6} - \sqrt{5})$

Apply the distributive property.

$\sqrt{11} \sqrt{6} + \sqrt{11} (- \sqrt{5})$

Combine using the product rule for radicals.

$\sqrt{11 \cdot 6} + \sqrt{11} (- \sqrt{5})$

Multiply $\sqrt{11} (- \sqrt{5})$ .

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Combine using the product rule for radicals.

$\sqrt{11 \cdot 6} - \sqrt{11 \cdot 5}$

Multiply $11$ by $5$ .

$\sqrt{11 \cdot 6} - \sqrt{55}$

Multiply $11$ by $6$ .

$\sqrt{66} - \sqrt{55}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{66} - \sqrt{55}$

Decimal Form:

$0.70783991 \dots$

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