To solve this question, you should firstly perform the multiplication and then carry out the sum to calculate the expression inside the square root. After that, take the square root of the result to find your estimate. Here are the detailed steps:
Step 1: Multiply 2.18 by 7.31
You start by performing multiplication because according to the BIDsMAS rule, which stands for Brackets, Indices, Division and Multiplication (from left to right), Addition and Subtraction (from left to right), multiplication should be done before addition. Hence, multiply 2.18 and 7.31 together.
Step 2: Add 4.92 to the result of the multiplication
After you've finished multiplying, take the result and add 4.92 to it.
Step 3: Compute the square root of the previous result
Calculate the square root of the result you obtained from the previous step. That's your answer!
From our calculation, the value of the expression inside the root is roughly 20.86 and the square root of this number is approximately 4.57. Remember these are estimates, the actual values may be slightly different. So, the estimate for √(4.92 + 2.18 x 7.31) is roughly 4.57.