Calculate. $$\sqrt{5.2^2 - 4.8 \times 6.3}$$
Give your answer correct to 3 significant figures. - OCR - GCSE Maths - Question 19 - 2023 - Paper 1
Question 19
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 19 - 2023 - Paper 1
Step 1
Calculate $5.2^2$
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Answer
First, compute the square of 5.2:
5.22=27.04.
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
Subtract the two results
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Answer
Subtract the second result from the first:
27.04−30.24=−3.2.
Step 4
Take the square root of the result
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Answer
Now, take the square root of the difference. Note that the expression is not valid as you cannot take the square root of a negative number. This indicates an error in the exploration.
