simplify sqrt(14)*10sqrt(12) — step-by-step solution

Let's simplify:

\sqrt{14} \times 10 \times \sqrt{12}

ⓘ We look for the largest square dividing

12

4

2^{2}

, and take it out of the root:

\sqrt{12}

\sqrt{4 \times 3}

\sqrt{4} \times \sqrt{3}

2 \times \sqrt{3}

\sqrt{14} \times 10 \times 2 \times \sqrt{3}

ⓘ The product of two square roots is the square root of the product:

\sqrt{14} \times \sqrt{3}

\sqrt{14 \times 3}

ⅰ

10 \times 2

20

20 \times \sqrt{14 \times 3}

ⅰ

14 \times 3

(10 + 4) \times 3

10 \times 3 + 4 \times 3

30 + 12

42

▶Simplified form:

20 \times \sqrt{42}

The numeric value of:

20 \times \sqrt{42}

equals:

20 \times \approx 6.4807

▷

\approx 129.6148