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
Question 1
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
Step 1: Calculate $5.2^2$
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Answer
First, calculate the square of 5.2:
5.22=27.04
Step 2
Step 2: Calculate $4.8 \times 6.3$
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Answer
Next, calculate the product of 4.8 and 6.3:
4.8×6.3=30.24
Step 3
Step 3: Perform the subtraction
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Answer
Now, subtract the result from Step 2 from the result in Step 1:
27.04−30.24=−3.20
Step 4
Step 4: Analyze the square root
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Answer
Here, we cannot take the square root of a negative number in real numbers, thus it suggests that the value simplifies to imaginary results. However, if we were to neglect this, the square root would be:
−3.20
This indicates a complex number, but rounding this number to three significant figures is not applicable because it's not valid.
