simplify-9sqrt(112)-3sqrt(112)

Let's simplify:

- 9 \times \sqrt{112} - 3 \times \sqrt{112}

ⓘ We look for the largest square dividing

112

16

4^{2}

, and take it out of the root:

\sqrt{112}

\sqrt{16 \times 7}

\sqrt{16} \times \sqrt{7}

4 \times \sqrt{7}

- 9 \times 4 \times \sqrt{7} - 3 \times 4 \times \sqrt{7}

ⓘ Multiplications are done before additions and subtractions:

9 \times 4

36

3 \times 4

12

- 36 \times \sqrt{7} - 12 \times \sqrt{7}

ⓘ Like terms are grouped by adding their coefficients:

- 36 \times \sqrt{7} - 12 \times \sqrt{7}

-48 \times \sqrt{7}

▶Simplified form:

- 48 \times \sqrt{7}

The numeric value of:

- 48 \times \sqrt{7}

is:

- 48 \times \approx 2.6458

▷

\approx -126.9961