2 square root of x= square root of 243 - square root of 147. what is the value of x

We have,     2x = 243 - 1472x = 3×3×3×3×3 - 3×7×72x = 93 - 732x = 23x = 3Squaring both sides, we get x = 3

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Hi Pavitra, given 2​√x = √243 - √147 
==> 2√x = √3 * √81 - √3 * √49
==> 2√x = 9√3 - 7√3 = 2√3
Hence x = 3
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