Question

Calculate by applying the extraction properties of the square √: √8100 : 25 : 9

A. 90 : 5 : 3
B. 30 : 5 : 3
C. 9 : 5 : 3
D. 3 : 5 : 9

Answer 1

To calculate by applying the extraction properties of the square root (√) to √8100, 25, and 9, divide the exponent of the exponential term by 2 and extract the square root of the digit term. The final calculation is 90 : 5 : 3, which corresponds to option A.

Step-by-step explanation:

To calculate by applying the extraction properties of the square root (√) to √8100, 25, and 9, we need to divide the exponent of the exponential term by 2 and extract the square root of the digit term. Let's break it down step by step:

1. √8100 = √(81 × 100) = √81 × √100 = 9 × 10 = 90
2. √25 = 5
3. √9 = 3

So, the final calculation is 90 : 5 : 3, which corresponds to option A.