Calculate. $$ ext{ }
\sqrt{5.2^2 - 4.8 \times 6.3}$$
Give your answer correct to 3 significant figures. - OCR - GCSE Maths - Question 19 - 2023 - Paper 1
Question 19
Calculate.
$$ ext{ }
\sqrt{5.2^2 - 4.8 \times 6.3}$$
Give your answer correct to 3 significant figures.
Worked Solution & Example Answer:Calculate. $$ ext{ }
\sqrt{5.2^2 - 4.8 \times 6.3}$$
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, we evaluate 5.22=27.04.
Step 2
Calculate $4.8 \times 6.3$
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Answer
Next, we calculate 4.8×6.3=30.24.
Step 3
Subtract and take the square root
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Answer
Now, we perform the subtraction: 27.04−30.24=−3.20. Since we are taking the square root of a negative number, the expression ext−3.20 will result in an imaginary number. The magnitude is approximately 1.79i.
Step 4
Final answer
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Answer
Therefore, the final answer, given correct to 3 significant figures, is approximately 1.79i.
