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Simplification & Approximation · Question 41 of 71

Question 41

EasyOriginal question

Find 1444\sqrt{1444}.

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The number ends in 4, so its square root ends in 2 or 8.

  2. 352=122535^2 = 1225 and 402=160040^2 = 1600, so the root lies between 35 and 40, which means it ends in 8: it is 38.

  3. Check: 382=144438^2 = 1444.

Worth noting

32 also ends in a digit whose square ends in 4, but 322=102432^2 = 1024. Always bracket the root between two easy squares.

Concept
Square root of a perfect square by last digit and bracketing
Typical time
40 s
Your time
—
The rule this testsPowers, roots and surds
Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.