Question

Question:-

$\sf \: If \: \sqrt[3]{1906624} \times \sqrt{x} = 3100, find \: x.$

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Answer 1

Answer:

Given :-

$\mapsto \sf \sqrt[3]{1906624} \times \sqrt{x} =\: 3100$

To Find :-

$\mapsto \sf What\: is\: the\: value\: of\: x\: .$

Solution :-

$\implies \bf \sqrt[3]{1906624} \times \sqrt{x} =\: 3100$

$\implies \sf \sqrt[3]{\underline{2 \times 2 \times 2} \times \underline{2 \times 2 \times 2} \times \underline{31 \times 31 \times 31}} \times \sqrt{x} =\: 3100$

$\implies \sf \sqrt[3]{2^3 \times 2^3 \times 31^3} \times \sqrt{x} =\: 3100$

$\implies \sf 2 \times 2 \times 31 \times \sqrt{x} =\: 3100$

$\implies \sf 4 \times 31 \times \sqrt{x} =\: 3100$

$\implies \sf 124 \times \sqrt{x} =\: 3100$

$\implies \sf \sqrt{x} =\: \dfrac{\cancel{3100}}{\cancel{124}}$

$\implies \sf \sqrt{x} =\: \dfrac{25}{1}$

$\implies \sf \sqrt{x} =\: 25$

By squaring both sides we get,

$\implies \sf (\sqrt{x})^2 =\: (25)^2$

$\implies \sf x =\: 25 \times 25$

$\implies \sf\bold{\red{x =\: 625}}$

${\small{\bold{\underline{\therefore\: The\: value\: of\: x\: is\: 625\: .}}}}$

Answer 2

Answer:

.

Step-by-step explanation:

The value of x is equal to 625.

Step-by-step explanation:

We have,

1906624 × √√x = 3100

To find, the value of x = ?

1906624 × √x = 3100

124 × 124 × 124 × √√x = 3100

124 × √√x = 3100

√x 3100 124

= 25

Squaring both sides, we get

√x² = 25²

⇒ x = 25 x 25 = 625

Thus, the value of x is equal to 625.