What two consecutive integers does the square root 76 lie

Question

Zane

Mathematics

2 November, 16:56

What two consecutive integers does the square root 76 lie

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Answers (1)

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June Levy · Answer 1

if the integers are m and n, and they are consecutive, and n>m

m<√76
square everybody (assume m and n are positive)

m²<76
so find the 2 square above and below

listing the squares, 1,4,9,16,25,36,49,64,81, and 76 is betwen 64 and 81

64<76<81

8²<76<9²

8<√76<9

it is between 8 and 9