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
Calculate the value of $5.2^2$
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Answer
First, we compute the square of 5.2:
5.22=27.04
Step 2
Calculate the value of $4.8 \times 6.3$
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Answer
Next, we 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
Now we subtract the second result from the first:
27.04−30.24=−3.20
Step 4
Calculate the square root
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Answer
Taking the square root of the result:
Since the result is negative, we conclude that we cannot take a square root of a negative number in the real number system. Therefore, the expression under the square root is non-real.
Step 5
Provide final answer
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Answer
Since we cannot take the square root of a negative number, the final answer is that the calculation does not yield a real number.
