Question

Square root of 130 in simplest radical form:
a. 2√65
b. √65
c. √130
d. 5√2

Answer 1

To simplify the square root of 130, we can use the prime factorization method and pair up the prime factors into groups of 2.

Step-by-step explanation:

The square root of a number is a value that, when multiplied by itself, gives the original number. The square root is denoted by the radical symbol (√).

To simplify the square root of 130, we can look for the prime factorization of 130. The prime factorization of 130 is 2 * 5 * 13. We can pair up the prime factors into groups of 2 to simplify the square root:

√130 = √(2 * 5 * 13) = √(2^2 * 5 * 13) = 2√(5 * 13) = 2√65

So the answer is option a. 2√65.