Question

Choose the expression that shows the correct product for √(3)· √(12)
O √(15)
O √(36)
O √[4](15)
O √[4](36)

Answer 1

Answer:

√36

Step-by-step explanation:

Given: √3 * √12

Remember by law of surds:

• √a = a¹/² *¹

We know √(12) = √(3*4)

We know

• √a *√b = √(a*b)

Therefore

• √3 * √(3*4)
• √(3*3*4)

Note that

3² = 3*3

4 = 2²

• √(3²*2²)
• 3²*¹/²*2²*¹/²
• 3*2 = 6

We know √36 = 6 because √36 = 6²*¹/² = 6.

Hence

• 6 = √36

Option B looks good