Simplify 9 square root of 7+ square root of 6-3 square root of 7+5 square root of 6

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Algebra

$9 \sqrt{7} + \sqrt{6} - 3 \sqrt{7} + 5 \sqrt{6}$

Subtract $3 \sqrt{7}$ from $9 \sqrt{7}$ .

$6 \sqrt{7} + \sqrt{6} + 5 \sqrt{6}$

Add $\sqrt{6}$ and $5 \sqrt{6}$ .

$6 \sqrt{7} + 6 \sqrt{6}$

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{7} + 6 \sqrt{6}$

Decimal Form:

$30.57144632 \dots$

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