Question

given that ROOT 2 =1.414 and root 5 =2.236 evaluate of root 36/5

Answer 1

Given : √2 = 1.414 and √5 = 2.236

Given equation : $\bold{\sqrt{\dfrac{36}{5}}}$

$\implies \sqrt{\dfrac{36}{5}}$

Factorizing 36 and 5 : -

36 = 1 x 2 x 2 x 3 x 3

⇒ 36 = 2² x 3²

⇒ 36 = ( 2 x 3 )²

⇒ 36 = 6²

5 = 1 x 5

⇒ 5 = √5 x √5

⇒ 5 = ( √5 )²

Now, equation is :

$\implies \sqrt{ \dfrac{ 6^2}{(\sqrt{5} )^2 }}\\\\\implies \dfrac{6}{\sqrt{5}}$

Now, substituting the value of √5 that is 2.236

$\implies \dfrac{6}{2.236}}\\\\\implies 2.683$

Therefore the value of the given equation is 2.683.

Answer 2

Answer:

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