Beetween which two consecutive integers does the square root lie 99
Answers
Answer:
Step-by-step explanation:
9
<
√
90
<
10
Explanation:
We all know that every square root lies between the square root of two perfect squares.
∴
As per the question,
√
90
also lies between the square root of two perfect squares i.e
√
81
and
√
100
∴
√
81
<
√
90
<
√
100
∴
9
<
√
90
<
10
Hence,
√
90
lies between the consecutive numbers 9 and 10.
Concept:
A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root.
The equation x=√y or x² = y can be used to illustrate the situation where x is the square root of y. The radical symbol for the number's root is shown here. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.
For instance, the square of 3 is 9, the square root of 9 is 9, and 32 also equals 9. Finding the square root of 9 is simple because it is a perfect square. not, for imperfect square such as 3, 7, 8
Given:
99
Find:
Between which two consecutive integers does the square root lie 99
Solution:
We all know that every square root lies between the square root of two perfect squares.
As per the question,
√99 also lies between the square root of two perfect squares i.e
√81 and √100
∴ √81 < √99 < √100
∴ 9<√99 < 10
Hence, √99 lies between the consecutive numbers 9 and 10
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