how do you simply this?
square root of 1500/20
(the / means over)
please show steps.
thanks!
Square root of 75 = ?
Square root of 75..Now you break it down into numbers with a perfect square..25 x 3..the square root of 25=5, so your answer would be 5 square root 3
To simplify the expression √(1500/20), also known as the square root of 1500/20, follow these steps:
Step 1: Simplify the division inside the square root:
1500/20 = 75
Step 2: Substitute the simplified value into the square root expression:
√75
Step 3: Determine the prime factorization of 75:
75 = 3 × 25
Step 4: Take out any perfect square factors:
75 = 3 × 5 × 5
Step 5: Simplify the expression:
√75 = √(3 × 5 × 5)
Step 6: Combine like terms under the square root:
√75 = √(3 × 5^2)
Step 7: Simplify further:
√75 = 5√3
So, the simplified form of √(1500/20) is 5√3.