12 (a) Find the value of
(i) $ rac{ ext{√}216}{2}$,
(ii) $2^8$ - OCR - GCSE Maths - Question 12 - 2019 - Paper 1
Question 12
12 (a) Find the value of
(i) $ rac{ ext{√}216}{2}$,
(ii) $2^8$.
(b) The cube of 3 is added to the square root of 7.
Put a ring around the correct statem... show full transcript
Worked Solution & Example Answer:12 (a) Find the value of
(i) $ rac{ ext{√}216}{2}$,
(ii) $2^8$ - OCR - GCSE Maths - Question 12 - 2019 - Paper 1
Step 1
(i) Find the value of $ ext{√}216$
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Answer
To find the value of ext√216, we can simplify 216.
First, we factor 216:
216=6imes36=6imes6imes6=63
Thus, the square root becomes:
ext√216=ext√(63)=63/2=6imesext√6
So, ext√216=6ext√6.
Step 2
(ii) Find the value of $2^8$
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Answer
To calculate 28, we follow this simple calculation:
28=256
This represents the result of raising 2 to the 8th power.
Step 3
(b) Put a ring around the correct statement
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Answer
In this case, we need to evaluate the expressions given. The expressions all include the components involving 33 and ext√7 added to a square root and a constant.
To check correctness:
The expression 33+7 evaluates to 27 + 7 = 34.
The expression ext√3+ext√7 does not equate to their sum accurately. Therefore, the first statement with regard to the options given will be correct if evaluated in terms of expression validity.
Thus, you would ring around the statement that correctly represents the mathematical evaluation. Evaluate carefully for your context.
