Question

find the square root of the following rational number
a) 4/9
b) 16/25
c) 9/16
c) 64/225​

Answer 1

Answer:

a.2/3 b.4/5 c.3/4 d.8/25

Answer 2

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★ The square roots of the following numbers:-

a) $\sf \dfrac{4}{9}$

b) $\sf \dfrac{16}{25}$

c) $\sf \dfrac{9}{16}$

d) $\sf \dfrac{64}{225}$

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a) $\sf \dfrac{4}{9}$

$\dashrightarrow\sf \sqrt{ \dfrac{4}{9}} \\\\\\ \dashrightarrow\sf \sqrt{ \dfrac{(2)^2}{(3)^2}} \\\\\\ \dashrightarrow\sf \sqrt{ \bigg( \dfrac{2}{3} \bigg)^2 } \\\\\\ \dashrightarrow\sf \dfrac{2}{3}$

b) $\sf \dfrac{16}{25}$

$\dashrightarrow\sf \sqrt{ \dfrac{16}{25}} \\\\\\ \dashrightarrow\sf \sqrt{ \dfrac{(4)^2}{(5)^2}} \\\\\\ \dashrightarrow\sf \sqrt{ \bigg( \dfrac{4}{5} \bigg)^2 } \\\\\\ \dashrightarrow\sf \dfrac{4}{5}$

c) $\sf \dfrac{9}{16}$

$\dashrightarrow\sf \sqrt{ \dfrac{9}{16}} \\\\\\ \dashrightarrow\sf \sqrt{ \dfrac{(3)^2}{(4)^2}} \\\\\\ \dashrightarrow\sf \sqrt{ \bigg( \dfrac{3}{4} \bigg)^2 } \\\\\\ \dashrightarrow\sf \dfrac{3}{4}$

d) $\sf \dfrac{64}{225}$

$\dashrightarrow\sf \sqrt{ \dfrac{64}{225}} \\\\\\ \dashrightarrow\sf \sqrt{ \dfrac{(8)^2}{(15)^2}} \\\\\\ \dashrightarrow\sf \sqrt{ \bigg( \dfrac{8}{15} \bigg)^2 } \\\\\\ \dashrightarrow\sf \dfrac{8}{15}$

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