Question

Square root 49 divided by 50​

Answer 1

The question is not clear. So two solutions are provided for your query.

Question 1. $\sqrt{\dfrac{49}{50}}$

Solution.

We know that, 49 = 7 × 7 = 7²

and 50 = 2 × 5²

Then $\sqrt{\dfrac{49}{50}}$

= $\sqrt{\dfrac{7^{2}}{2\times 5^{2}}}$

= $\dfrac{7}{5\sqrt{2}}$

• since $\sqrt{a^{2}}=a$

= 0.9899494...

Thus $\sqrt{\dfrac{49}{50}}=0.9899494...$

Question 2. $\dfrac{\sqrt{49}}{50}$

Solution.

We know that, 49 = 7 × 7 = 7²

Then $\dfrac{\sqrt{49}}{50}$

= $\dfrac{\sqrt{7^{2}}}{50}$

= $\dfrac{7}{50}$

= 0.14

Thus $\dfrac{\sqrt{49}}{50}=0.14$

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