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: (2 + √2)(2 − √2)
Answer
Question 2
Simplify: √175 + √63. Give your answer in the form a√b.
Answer
Question 3
Simplify: 7√3 + 9√3 − 9√3
Answer
Question 4
Expand and simplify: (7 + √6)(7 − √6)
Answer
Question 5
Simplify: √108 + √12. Give your answer in the form a√b.
Answer
Question 6
Simplify: 9√5 + 4√5 − √5
Answer
Question 7
Expand and simplify: (3 + √7)(3 − √7)
Answer
Question 8
Simplify: √96 + √24. Give your answer in the form a√b.
Answer
Question 9
Simplify: 9√5 + 6√5 − 4√5
Answer
Question 10
Expand and simplify: (2 + √7)(2 − √7)
Answer
Question 11
Simplify: √112 + √28. Give your answer in the form a√b.
Answer
Question 12
Simplify: 4√10 + 9√10 − 6√10
Answer
Question 13
Expand and simplify: (2 + √2)(2 − √2)
Answer
Question 14
Simplify: √108 + √48. Give your answer in the form a√b.
Answer
Question 15
Simplify: 4√2 + 2√2 − 2√2
Answer
Question 16
Expand and simplify: (5 + √10)(5 − √10)
Answer
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