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Calculate. $$\sqrt{5.2^2 - 4.8 \times 6.3}$$ Give your answer correct to 3 significant figures. - OCR - GCSE Maths - Question 1 - 2023 - Paper 4

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Calculate.-$$\sqrt{5.2^2---4.8-\times-6.3}$$--Give-your-answer-correct-to-3-significant-figures.-OCR-GCSE Maths-Question 1-2023-Paper 4.png

Calculate. $$\sqrt{5.2^2 - 4.8 \times 6.3}$$ Give your answer correct to 3 significant figures.

Worked Solution & Example Answer:Calculate. $$\sqrt{5.2^2 - 4.8 \times 6.3}$$ Give your answer correct to 3 significant figures. - OCR - GCSE Maths - Question 1 - 2023 - Paper 4

Step 1

Calculate $5.2^2$

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Answer

First, compute 5.225.2^2:

5.22=27.045.2^2 = 27.04

Step 2

Calculate $4.8 \times 6.3$

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Answer

Next, calculate 4.8×6.34.8 \times 6.3:

4.8×6.3=30.244.8 \times 6.3 = 30.24

Step 3

Subtract the results

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Answer

Now, subtract the second result from the first:

27.04−30.24=−3.227.04 - 30.24 = -3.2

Step 4

Calculate the square root

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Answer

Finally, since the square root of a negative number is not a real number, we conclude with:

−3.2\sqrt{-3.2} indicates that the expression under the root is invalid in real numbers.

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