simplify -3sqrt(10)-3sqrt(40) — step-by-step solution

Let's simplify:

- 3 \times \sqrt{10} - 3 \times \sqrt{40}

ⓘ We look for the largest square dividing

40

4

2^{2}

, and take it out of the root:

\sqrt{40}

\sqrt{4 \times 10}

\sqrt{4} \times \sqrt{10}

2 \times \sqrt{10}

- 3 \times \sqrt{10} - 3 \times 2 \times \sqrt{10}

ⓘ Multiplications are done before additions and subtractions:

3 \times 2

6

- 3 \times \sqrt{10} - 6 \times \sqrt{10}

ⓘ Like terms are grouped by adding their coefficients:

- 3 \times \sqrt{10} - 6 \times \sqrt{10}

-9 \times \sqrt{10}

▶Simplified form:

- 9 \times \sqrt{10}

The numeric value of:

- 9 \times \sqrt{10}

equals:

- 9 \times \approx 3.1623

▷

\approx -28.4605