Add and subtract surds
9th grade (Year 10 in England) · 16 questions · Common Core: HSN.RN.B.3 · England: GCSE Higher Number
Name
Date
Score/ 16
Question 1
Expand and simplify: (4 + √10)(4 − √10)
Answer
Question 2
Simplify: √216 + √24. Give your answer in the form a√b.
Answer
Question 3
Simplify: 8√5 + 4√5 − 4√5
Answer
Question 4
Expand and simplify: (8 + √11)(8 − √11)
Answer
Question 5
Simplify: √24 − √96. Give your answer in the form a√b.
Answer
Question 6
Simplify: 2√3 + 2√3 − 9√3
Answer
Question 7
Expand and simplify: (9 + √10)(9 − √10)
Answer
Question 8
Simplify: √28 + √112. Give your answer in the form a√b.
Answer
Question 9
Simplify: 6√10 + 4√10 − 2√10
Answer
Question 10
Expand and simplify: (4 + √10)(4 − √10)
Answer
Question 11
Simplify: √80 − √20. Give your answer in the form a√b.
Answer
Question 12
Simplify: 9√10 + 8√10 − 2√10
Answer
Question 13
Expand and simplify: (6 + √3)(6 − √3)
Answer
Question 14
Simplify: √112 + √175. Give your answer in the form a√b.
Answer
Question 15
Simplify: 4√2 + 8√2 − 2√2
Answer
Question 16
Expand and simplify: (6 + √10)(6 − √10)
Answer
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