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What is the value of the following expression?​22514×19622×48415\frac{\sqrt{225}}{14}\times\frac{\sqrt{196}}{22}\times\frac{\sqrt{484}}{15}14225​​×221
Question

What is the value of the following expression?

22514×19622×48415\frac{\sqrt{225}}{14}\times\frac{\sqrt{196}}{22}\times\frac{\sqrt{484}}{15}​​

A.

3

B.

1

C.

2

D.

4

Correct option is B

Given:

22514×19622×48415\frac{\sqrt{225}}{14}\times\frac{\sqrt{196}}{22}\times\frac{\sqrt{484}}{15} 

Formula used:

Operation preference wiseSymbolBrackets[],,()Orders,of²(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin {array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\ \hline Brackets &[],{}, () \\ \hline Orders, of & ² (power), √ (root) , of \\ \hline Division & ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\ \hline \end{array}

Solution:

22514×19622×484151514×1422×2215=1\frac{\sqrt{225}}{14}\times\frac{\sqrt{196}}{22}\times\frac{\sqrt{484}}{15}\\\frac{15}{14}\times\frac{14}{22}\times\frac{22}{15} = 1

Hence, option (b) is the correct answer. 

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