Question

Multiply and simplify if possible 4 sqrt 11 times 4 sqrt 10

Answer 1

The answer is ^4 sqrt 110

4 sqrt 11 times 4 sqrt 10 is 

$\sqrt[4]{11} * \sqrt[4]{10} \\ \\ \sqrt{x} * \sqrt{y} = \sqrt{x*y} \\ \\ \sqrt[4]{11} * \sqrt[4]{10} = \sqrt[4]{11*10} = \sqrt[4]{110}$

Answer 2

For this case we have the following expression:

$\sqrt [4] {11} \sqrt [4] {10}$

For radical properties, we have to:

$\sqrt [a] {b} \sqrt [a] {c} = \sqrt [a] {bc}$

Therefore, making use of the definition, we can rewrite the given expression.

We have then:

$\sqrt [4] {11} \sqrt [4] {10} = \sqrt [4] {(11) (10)}\\\sqrt [4] {11} \sqrt [4] {10} = \sqrt [4] {110}$

Answer:

The equivalent expression is given by:

$\sqrt [4] {11} \sqrt [4] {10} = \sqrt [4] {110}$

Option D