Question

Find the value of each of the following by using the square root table:

$\sqrt{3.1428}$
​

Answer 1

Answer:

1.772

is the value of given square root

Answer 2

Answer:

$\small\ \mathtt \pink{ = 1.77282}$

Step-by-step explanation:

$\sqrt{3.1428} = \sqrt{ \frac{31428}{10000} }$

$= \frac{ \sqrt{ {2}^{2} \times {9}^{2} \times 97 } }{ \sqrt{10000} }$

$= \frac{2 \times 9 \times \sqrt{97} }{100}$

$= \frac{18 \times 9.849}{100} = 1.77282$

$\large\ \mathtt \purple{☆Note:}$

$[\small\ \mathtt \red{using \: table: \sqrt{97} = 9.849 }]$