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Keep an exact root when needed - Paper 1
Read the information, then answer the questions. An adult may read the instructions aloud. Show your working where asked.
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Work with sqrt(20), where sqrt denotes the non-negative square root. Factor 20 as 4 x 5; the first factor is a square. An exact root need not be a terminating decimal. Compare also sqrt(9 + 16) with sqrt(9) + sqrt(16): a product rule is not an addition rule.
Worksheet preview
- Simplify sqrt(20) exactly using its square factor.
- Between which consecutive integers does sqrt(20) lie? Justify using squares.
- Why cannot the square-factor method justify sqrt(9 + 16) = sqrt(9) + sqrt(16)?
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