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uranmaximum [27]
3 years ago
10

find two numbers that have square roots between 7 and 8. One number should have a square root closer to 7 and the other number s

hould have a square root closer to 8
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

\text{We need to find the two numbers whose squre roots are between 7 and 8}\\
\\
\text{Observe that the square of 7 is 49, that is }7^2=49\\
\\
\text{and the squre of 8 is 64, that is }8^2=64\\
\\
\text{So the required numbers must be between 49 and 64.}

\text{now we want one number that have a square root closer to 7.}\\
\text{so one such number could be 50, because }\sqrt{50}\approx 7.071\\
\\
\text{and the other number that have sqare root closer to 8 could be 63.}\\
\text{beceause the square root of 63 is, }\sqrt{63}\approx 7.937

Two such numbers are: 50 and 63

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