Question

find the square root of 38+ 5√3 ??​

Answer 1

Answer:

6.831

Step-by-step explanation:

The given number is not a perfect square therefore we will use tables or a calculator to get the square root.

We first need to calculate the surd part of it.

5 × square root of 3 = 8.660

We now sum the the two before getting the square root.

38 + 8.660 = 46.66

We need the square root of 46.66.

The square root of 46.66 = 6.831

Answer 2

Answer: $(5\sqrt{3} + 1)/2$

Step-by-step explanation:

$\sqrt{38 +5\sqrt{3} }$
$\sqrt{(75 +10\sqrt{3})/2 }$

$\sqrt{(5\sqrt{3} +1)^{2}/2 }$  

$(5\sqrt{3} + 1)/2$