Simplify 7 square root of 24-3 square root of 6

$7 \sqrt{24} - 3 \sqrt{6}$

Step 1

Simplify each term.

Rewrite $24$ as $2^{2} \cdot 6$ .

Factor $4$ out of $24$ .

$7 \sqrt{4 (6)} - 3 \sqrt{6}$

Rewrite $4$ as $2^{2}$ .

$7 \sqrt{2^{2} \cdot 6} - 3 \sqrt{6}$

$7 \sqrt{2^{2} \cdot 6} - 3 \sqrt{6}$

Pull terms out from under the radical.

$7 (2 \sqrt{6}) - 3 \sqrt{6}$

Multiply $2$ by $7$ .

$14 \sqrt{6} - 3 \sqrt{6}$

$14 \sqrt{6} - 3 \sqrt{6}$

Step 2

Subtract $3 \sqrt{6}$ from $14 \sqrt{6}$ .

$11 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$11 \sqrt{6}$

Decimal Form:

$26.94438717 \dots$

Related Questions