Square root of 648.7209 by division method

Question

asked Jul 16, 2021 89.5k views

1 Answer

Aliqua · Answer 1 · 2021-07-19T22:48:14+0000

Answer:

25.47

Explanation:

This root can be rewritten as:

$\sqrt{(6487209)/(10000) }$

$\sqrt{(6487209)/(100^(2)) }$

$(1)/(100)\cdot √(6487209)$

Since 6487209 is a multple of 3, the expression can be rearranged as follows:

$(1)/(100)\cdot √(3* 2162403)$

2162403 is also a multiple of 3, then:

$(1)/(100)\cdot \sqrt{3^(2)* 720801}$

$(3)/(100)\cdot √(720801)$

720801 is a multiple of 3, then:

$(3)/(100)\cdot √(3* 240267)$

240267 is a multiple of 3, then:

$(3)/(100)* \sqrt{3^(2)* 80089}$

$(9)/(100)\cdot √(80089)$

80089 is a multiple of 283, then:

$(9)/(100)\cdot \sqrt{283^(2)}$

(9* 283)/(100)

(2547)/(100)

25.47