Calculate. (a) \( \sqrt{\frac{4.8^8 + 3.6^6}{4}} \) (b) \( \frac{1}{(2 \times 10^4) + (5 \times 10^3)} \) - OCR - GCSE Maths - Question 1 - 2017 - Paper 1

To solve part (a), we first calculate the expressions in the numerator:

1. Compute ( 4.8^8 ) and ( 3.6^6 ):

   • ( 4.8^8 \approx 174.96 \times 10^8 )
   • ( 3.6^6 \approx 6.04 \times 10^6 )

2. Add these two results together:

   • ( 4.8^8 + 3.6^6 \approx 174.96 \times 10^8 + 0.604 \times 10^8 = 175.564 \times 10^8 )

3. Divide by ( 4 ):

   • ( \frac{175.564 \times 10^8}{4} = 43.891 \times 10^8 )

4. Take the square root:

   • ( \sqrt{43.891 \times 10^8} = 3 \times 10^4 = 3 ).