Algebra Examples

$27 \sqrt{6} + 7 \sqrt{150}$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite $150$ as $5^{2} \cdot 6$ .

Tap for more steps...

Step 1.1.1

Factor $25$ out of $150$ .

$27 \sqrt{6} + 7 \sqrt{25 (6)}$

Step 1.1.2

Rewrite $25$ as $5^{2}$ .

$27 \sqrt{6} + 7 \sqrt{5^{2} \cdot 6}$

Step 1.2

Pull terms out from under the radical.

$27 \sqrt{6} + 7 (| 5 | \sqrt{6})$

Step 1.3

The absolute value is the distance between a number and zero. The distance between $0$ and $5$ is $5$ .

$27 \sqrt{6} + 7 (5 \sqrt{6})$

Step 1.4

Multiply $5$ by $7$ .

$27 \sqrt{6} + 35 \sqrt{6}$

Step 2

Add $27 \sqrt{6}$ and $35 \sqrt{6}$ .

$62 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$62 \sqrt{6}$

Decimal Form:

$151.86836405 \dots$