Sangeetha Pulapaka
0

STEP 1: Recall what is a radical expression

STEP 2: Recall what is prime factorisation

https://www.mathsisfun.com/prime-factorization.html

STEP 3: Recall what is the greatest common factor

http://www.math.com/school/subject1/lessons/S1U3L2GL.html

STEP 4: Add the rational expressions

2\sqrt{12}+\sqrt{27}

= 2\sqrt{4.3}+ \sqrt{3.3.3} ( taking prime factors of each number)

= 2.2.\sqrt{3}+ 3\sqrt{3} ( taking the square root of 4 and 9)

= \sqrt{3}(4+3) (taking \sqrt{3} common)

= 7\sqrt{3}