How do I improve at Roots questions?

Start by reviewing the Roots theory guide, then practice in this difficulty band and track which concepts you miss. Focus on accuracy first, then work on pacing so you finish each question in about two minutes.

Where can I learn Roots theory?

Our free Roots guide on the GMAT Sprint Quant hub explains the core concepts and formulas, with worked examples you can practice against.

Very Hard - 705+ Roots Problem Solving GMAT Questions

Very Hard - 705+ difficulty Roots Problem Solving GMAT practice questions. Every question below links to its own page with the full solution, community comments, and discussion.

Questions

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Practice Very Hard - 705+ Roots Problem Solving questions

Very Hard - 705+ Roots Problem Solving questions measure your handling of square and higher roots, including simplifying radicals.. Here you'll find 42 free questions in this band — every one shows the correct answer, with full step-by-step solutions available once you sign in for free. Practice in this difficulty range to build speed and accuracy, then move up a tier as your scores improve.

Question Type

All types(4)Problem Solving(1457)Critical Reasoning(1024)Data Sufficiency(112)Reading Comprehension

Latest questions

42 questions

PS · Problem Solving

705-805

Roots

If [x] denotes the greatest integer less than or equal to x, what is the value of

[√1] + [√2] + [√3] + ... + [√100]

Frequently asked questions

Are these Roots Problem Solving questions free?▾

Yes. All 42 questions in this collection are free to practice. Each question shows the correct answer, and signing up for a free account unlocks the complete step-by-step explanations.

What does Very Hard - 705+ difficulty mean on the GMAT?▾

The 705-805 band maps to the GMAT Focus scoring range. Questions in this band are very hard - 705+ — ideal for building accuracy before you move up to harder tiers.