Name: Method of Estimating the Square Roots of Numbers
Uploaded: 2019-07-19
Duration: 6 min 15 s
Description: How to figure out the nearest square root of a non-perfect square number or guessing the square root of a perfect square number? Let's learn in this video.

Question

Using square root table, find the square root of the following (up to

2

decimal places):

59.45

Accepted Answer

We can use the table of square roots for the purpose of estimating the squares and square roots of natural numbers from $1$ to $100$ as well as square roots of larger numbers.

We can also use square root tables to identify the approximate value of square roots.

By using square root table we can find the square root of numbers more than hundred

For $\sqrt{59.45}$ , we find approximate difference between $\sqrt{60}$ and $\sqrt{59}$ .

So,

$\sqrt{60} - \sqrt{59} = 7.746 - 7.681 = 0.065$

For the difference $(60 - 59) = 1$ , the difference between $\sqrt{60}$ and $\sqrt{59}$ is $0.065$

For the difference $59.45 - 59 = 0.45$ , the difference between $\sqrt{59.45}$ and $\sqrt{59} = 0.0293$

Therefore,

$\sqrt{59.45} = 7.681 + 0.0293 = 7.71$

Using square root table, find the square root of the following (up to $2$ decimal places): $59.45$

Important Questions on Squares and Square Roots

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