Question

Please help, show me the workings out as well, btw if you dont get x=147 don't show me a different answer, tyy! also please do this asap since it's revision for my assesment.

Answer 1

The value of x in the surd expression is 147

How to solve surds

Surds are expressions that involves square roots of a particular number or more and these number are not a perfect square.

In this expression, the first step is to solve the parameters on the left-hand side. By doing so, we have:

`(√(x)* √(14))/(√(49))= √(42)`

From the left-hand side, the square root of 42 is 7, so the equation becomes:

`(√(x)* √(14))/(7)= √(42)`

Squaring both sides to eliminate the square root:

`((√(x)* √(14))/(7))^2= (√(42))^2`

`(x*14)/(7^2)= 42}`

`x*14}= 42* 49`

`x= (42* 49)/(14)`

x = 147

Therefore, the solution to the value of x in the surd expression is 147.