i need help with this problem
Problem; 5�ã3+2�ã75
To solve the given problem, we need to simplify the expression 5√3 + 2√75.
Step 1: Prime factorize the radicand (number inside the square root):
√75 can be written as √(3 * 5 * 5) since 3 and 5 are prime numbers.
√75 = 5√3
Step 2: Substitute the simplified radicand back into the original expression:
5√3 + 2√75 becomes 5√3 + 2 * 5√3
Step 3: Combine like terms (numbers with the same radical):
5√3 + 2 * 5√3 becomes 5√3 + 10√3
Step 4: Add the coefficients (numbers in front of the radicals):
5√3 + 10√3 = (5 + 10)√3 = 15√3
Therefore, the simplified form of 5√3 + 2√75 is 15√3.