Question

evaluate root 2= 1.414 and root 5=2.236 find 3/2 root2+root 5​

Answer 1

Answer:

Given : √2 = 1.414 and √5 = 2.236

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

5

36

\implies \sqrt{\dfrac{36}{5}}⟹

5

36

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 :

\begin{gathered}\implies \sqrt{ \dfrac{ 6^2}{(\sqrt{5} )^2 }}\\\\\implies \dfrac{6}{\sqrt{5}}\end{gathered}

⟹

(

5

)

2

6

2

⟹

5

6

Now, substituting the value of √5 that is 2.236

\begin{gathered}\implies \dfrac{6}{2.236}}\\\\\implies 2.683\end{gathered}

Therefore the value of the given equation is 2.683

Step-by-step explanation:

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