Which expression is equivalent to the one shown below √(36 * 3) a \: \: 36 √(3) b \: \:6 √(3) c \: \: 6 * 3 d \: \: 36 * 3 ​

Question

Which expression is equivalent to the one shown below


`√(36 * 3)`

`a \: \: 36 √(3)`

`b \: \:6 √(3)`

`c \: \: 6 * 3`

`d \: \: 36 * 3`
​

Answer 1

Answer: b

Step-by-step explanation: b

Answer 2

Option b: 6√3

Explanation:

Given expression is:

`√(36*3)`

We have to factorize the radicand in order to solve the given radical

So,

`= √(3*3*2*2*3)`

In order to solve the square root pairs are made:

`=√(2^2 * 3^2 * 3)`

To evaluate the square root, the exponents are multiplied by 1/2

`= 2^{(2*(1)/(2))} *3^{(2*(1)/(2))} * 3^{((1)/(2))}\\=2*3*√(3) \\=6√(3)`

Hence, option b is correct ..