Solve 143 - Square Root of 121 + 18: Complete Expression Evaluation

Q: Why do I have to find the square root first?

The order of operations (PEMDAS/BODMAS) tells us to handle roots and exponents before addition and subtraction. Think of $ \sqrt{121} $ as a single number that needs to be calculated first!

Q: How do I know what √121 equals?

Ask yourself: "What number times itself equals 121?" Since $ 11 \times 11 = 121 $, we know $ \sqrt{121} = 11 $. Practice perfect squares to recognize them quickly!

Q: Do I work left to right after finding the square root?

Yes! Once you have $ 143 - 11 + 18 $, addition and subtraction have equal priority, so work from left to right: first $ 143 - 11 = 132 $, then $ 132 + 18 = 150 $.

Q: What if I can't remember what √121 equals?

Try counting up: $ 10^2 = 100 $, $ 11^2 = 121 $, $ 12^2 = 144 $. Or use the fact that $ 11 \times 11 $ ends in 1 (since 1 × 1 = 1), which matches 121.

Q: Can I use a calculator for square roots?

For perfect squares like 121, it's faster to memorize them! But yes, calculators work too. Just make sure you still follow the correct order of operations when entering the full expression.

Order of Operations with Square Roots

$143-\sqrt{121}+18=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's solve this problem together.

00:10 Find the square root of a hundred and twenty-one.

00:15 Now, use long subtraction to carefully subtract the numbers.

00:27 Plug in the value and keep solving step by step.

00:34 Let's try using long addition next.

00:41 And don't forget to carry the one when needed.

00:45 Great job! This is how you find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$143-\sqrt{121}+18=$

Step-by-step solution

To solve the expression $143-\sqrt{121}+18$ , we need to follow the order of operations, which dictate that we should simplify any expressions under a square root first, followed by subtraction and addition.

Step 1: Simplify the square root:

Calculate the square root: $\sqrt{121}$ .
The square root of 121 is 11, because $11 \times 11 = 121$ .

Now, substitute back into the expression:

The expression becomes: $143 - 11 + 18$ .

Step 2: Perform the subtraction:

Calculate $143 - 11$ .
This equals 132, because subtracting 11 from 143 yields 132.

Step 3: Perform the addition:

Now add 18 to the result of the subtraction: $132 + 18$ .
The result is 150, because adding 18 to 132 equals 150.

Therefore, the final answer is $150$ .

Final Answer

$150$

Key Points to Remember

Essential concepts to master this topic

Rule: Evaluate square roots before addition and subtraction
Technique: Calculate $\sqrt{121} = 11$ first, then 143 - 11 + 18
Check: Substitute back: 143 - 11 + 18 = 132 + 18 = 150 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without evaluating the square root first
Don't calculate 143 - √121 + 18 as (143 - √121) + 18 = wrong answer! This ignores order of operations and treats the square root like a variable. Always evaluate √121 = 11 first, then follow left-to-right for addition and subtraction.

Practice Quiz

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$\sqrt{4}=$

FAQ

Everything you need to know about this question

Why do I have to find the square root first?

The order of operations (PEMDAS/BODMAS) tells us to handle roots and exponents before addition and subtraction. Think of $\sqrt{121}$ as a single number that needs to be calculated first!

How do I know what √121 equals?

Ask yourself: "What number times itself equals 121?" Since $11 \times 11 = 121$ , we know $\sqrt{121} = 11$ . Practice perfect squares to recognize them quickly!

Do I work left to right after finding the square root?

Yes! Once you have $143 - 11 + 18$ , addition and subtraction have equal priority, so work from left to right: first $143 - 11 = 132$ , then $132 + 18 = 150$ .

What if I can't remember what √121 equals?

Try counting up: $10^2 = 100$ , $11^2 = 121$ , $12^2 = 144$ . Or use the fact that $11 \times 11$ ends in 1 (since 1 × 1 = 1), which matches 121.

Can I use a calculator for square roots?

For perfect squares like 121, it's faster to memorize them! But yes, calculators work too. Just make sure you still follow the correct order of operations when entering the full expression.

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Solve 143 - Square Root of 121 + 18: Complete Expression Evaluation

Order of Operations with Square Roots

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I have to find the square root first?

How do I know what √121 equals?

Do I work left to right after finding the square root?

What if I can't remember what √121 equals?

Can I use a calculator for square roots?

🌟 Unlock Your Math Potential

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