Question

simplify : 4 root 15 × 3 root 3​

Answer 1

Answer:

answer is 36√5 ....

Step-by-step explanation:

4√15×3√3

12√45

36√5

Answer 2

Answer:

After simplication 4 root 15 × 3 root 3 equals to 36√5.

Step-by-step explanation:

Given, 4 root 15×3 root 3

$= 4 \sqrt{15} \times 3 \sqrt{3}$

$= (4 \times 3) \sqrt{15} \times \sqrt{3} \\ = 12 \sqrt{15} \times \sqrt{3} \\ = 12 \sqrt{(3 \times 15)} \\ = 12 \sqrt{(3 \times 3 \times 5)} \\ = 12 \times 3\sqrt{5} \\ = 36 \sqrt{5}$

Here applied formulas are

$\sqrt{x} \times \sqrt{x} = x \\ \sqrt{(x \times x \times y)} = x \sqrt{y} \\ \sqrt{x \times y} = \sqrt{xy}$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549