Solve: 81 + Square Root of 81 + 10 Expression

81+81+10= 81+\sqrt{81}+10=

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Step-by-step video solution

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00:05 Let's solve this math problem together.
00:08 First, find the square root of eighty-one.
00:12 Now, follow the order of operations from left to right.
00:16 We'll do one calculation at a time, then move on.
00:20 And that's how we solve the problem. Well done!

Step-by-step written solution

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1

Understand the problem

81+81+10= 81+\sqrt{81}+10=

2

Step-by-step solution

To solve the expression 81+81+10 81+\sqrt{81}+10 , we need to follow the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Here, the expression contains a square root, which is a type of exponent operation. Therefore, we will handle the square root first:

  • Find the square root of 81, which is calculated as follows: 81=9 \sqrt{81} = 9 .

Now substitute the result back into the original expression:

81+9+10 81 + 9 + 10

Next, perform the addition operations from left to right:

  • First, add 81 and 9: 81+9=90 81 + 9 = 90 .
  • Then, add the result to 10: 90+10=100 90 + 10 = 100 .

Therefore, the final result of the expression 81+81+10 81+\sqrt{81}+10 is:

100 100

3

Final Answer

100 100

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\( \sqrt{100}= \)

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