Question

which expression is equivalent to the one shown below

$\sqrt{36 \times 3}$
$a \: \: 36 \sqrt{3}$
$b \: \:6 \sqrt{3}$
$c \: \: 6 \times 3$
$d \: \: 36 \times 3$
​

Answer 1

Answer:

Option b: 6√3

Step-by-step explanation:

Given expression is:

$\sqrt{36*3}$

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

So,

$= \sqrt{3*3*2*2*3}$

In order to solve the square root pairs are made:

$=\sqrt{2^2 * 3^2 * 3}$

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

$= 2^{(2*\frac{1}{2})} *3^{(2*\frac{1}{2})} * 3^{(\frac{1}{2})}\\=2*3*\sqrt{3} \\=6\sqrt{3}$

Hence, option b is correct ..

Answer 2

Answer: b

Step-by-step explanation: b