Question

If square root of 3 is equals to 1.732 find the value of square root 75 correct to 2 places of decimals

Answer 1

$\sqrt{75}$

Factorizing 75, 75 = 3 × 5 × 5

∴ $\sqrt{3\times5\times\5\times}$

⇒ $\sqrt{3\times5^{2}}$

⇒ $\sqrt{3}\times\sqrt{5^{2}}$

⇒ $\sqrt{3}\times 5^{2 \times\frac{1}{2}}$

⇒ $\sqrt{3} \times 5$

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In question value of x is given and it is 1.732

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⇒ 1.732 × 5

⇒ 8.66

∴ Value of √75 is 8.66

Answer 2

so √3= 1.732

you know what else √75 can be?.

5√3

as 75 = 25 X 3
and
25 is 5²

so √75 is essentially 5 times √3

5 X 1.732

= 8.66

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