Question

If p (x) =3x^3-√3x+√3, then p (2√3) is equal to
(a) 71√3
(b) 72√3
(c) 73√3
(d) None of these ​

Answer 1

Answer:

d)none of these

Step-by-step explanation:

as per the calculation the answer comes 120.44 which is not equal to options a b and c

Answer 2

Solution!!

$\sf p(x)=3x^{3}-\sqrt{3}x+\sqrt{3}$

To find: $\sf p(2\sqrt{3})$

We just have to put 2√3 instead of x in the given function and then we'll get our answer.

$\sf p(2\sqrt{3})=3(2\sqrt{3})^{3}-\sqrt{3}(2\sqrt{3})+\sqrt{3}$

To raise a product to a power, raise each factor to that power.

$\sf =3\times 8\times 3\sqrt{3}-\sqrt{3}\times 2\sqrt{3}+\sqrt{3}$

Calculate the product.

$\sf =72\sqrt{3}-\sqrt{3}\times 2\sqrt{3}+\sqrt{3}$

When a square root of an expression is multiplied by itself, the result is that expression.

$\sf =72\sqrt{3}-3\times 2+\sqrt{3}$

Multiply the numbers.

$\sf =72\sqrt{3}-6+\sqrt{3}$

Collect the like terms.

$\sf =73\sqrt{3}-6$

Option D is correct!