Question

If 180= 2x square×3 square×5 then the value of x is

Answer 1

Step-by-step explanation:

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Answer 2

$Given \: 180 = 2x^{2}\times 3^{2} \times 5$

$\implies 180 = 2\times 3^{2} \times 5 \times x^{2}$

$\implies 180 = 2 \times 9 \times 5 \times x^{2}$

$\implies 180 = 90 x^{2}$

$\implies \frac{180}{90} = x^{2}$

$\implies 2 = x^{2}$

$\implies ±\sqrt{2} = x$

Therefore.,

$\red{ Value \: of \: x } \green {= ±\sqrt{2}}$

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