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Calculate. $$ rac{ oot{3} olimits{210}}{10^2 + 5^2}$$ Give your answer correct to 3 significant figures. - OCR - GCSE Maths - Question 1 - 2019 - Paper 4

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Calculate.-$$-rac{-oot{3}-olimits{210}}{10^2-+-5^2}$$--Give-your-answer-correct-to-3-significant-figures.-OCR-GCSE Maths-Question 1-2019-Paper 4.png

Calculate. $$ rac{ oot{3} olimits{210}}{10^2 + 5^2}$$ Give your answer correct to 3 significant figures.

Worked Solution & Example Answer:Calculate. $$ rac{ oot{3} olimits{210}}{10^2 + 5^2}$$ Give your answer correct to 3 significant figures. - OCR - GCSE Maths - Question 1 - 2019 - Paper 4

Step 1

Calculate the expression in the denominator: $10^2 + 5^2$

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Answer

First, calculate each term separately:

  • 102=10010^2 = 100
  • 52=255^2 = 25

Now, sum these values:

102+52=100+25=12510^2 + 5^2 = 100 + 25 = 125

Step 2

Calculate the cube root: $\root{3}{210}$

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Answer

Next, we compute the cube root of 210:

Using a scientific calculator or appropriate software, we find:

\root3210≈6.008\root{3}{210} \approx 6.008

Step 3

Combine the results to find the final answer

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Answer

Now, substitute the results back into the original fraction:

\root3210102+52=6.008125≈0.048064\frac{\root{3}{210}}{10^2 + 5^2} = \frac{6.008}{125} \approx 0.048064

Finally, round the answer to 3 significant figures:

Thus, the final answer is:

0.0481

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