Question

X/√128=√162/xwhat is value of x

Answer 1

The final value of x is 12

Step-by-step explanation:

$\ Given \ value:\\\\\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x} \\\\\ Solution:\\\\\frac{x}{\sqrt{128}} = \frac{\sqrt{162}}{x} \\\\\rightarrow x \times x = \sqrt{128} \times \sqrt{162} \\\\\rightarrow x^2 = \sqrt{128} \times \sqrt{162} \\\\\rightarrow x^2 = 8\sqrt{2} \times 9\sqrt{2}\\\\\rightarrow x^2 = 72 \times \sqrt{2} \times \sqrt{2} \\\\\rightarrow x^2 = 72 \times 2\\\\\rightarrow x^2 = 144\\\\\rightarrow x^2 = (12)^2 \\\\\rightarrow x = 12$

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