Question

When the denominator of 1/ 2√5 is ration is it becomes √k/10 find K?
(A) 1
(B) 5
(C) 2
(D) 10​

Answer 1

Given

2

5

1

=

10

k

\implies \frac{\sqrt{5}}{2\sqrt{5}\times \sqrt{5}} = \frac{\sqrt{k}}{10}⟹

2

5

×

5

5

=

10

k

\implies \frac{\sqrt{5}}{2 \times 5} = \frac{\sqrt{k}}{10}⟹

2×5

5

=

10

k

\implies \frac{\sqrt{5}}{10} = \frac{\sqrt{k}}{10}⟹

10

5

=

10

k

/* Compare bothsides,we get */

\implies k = 5⟹k=5

Therefore.,

\red{ Value \: of \: k } \green { = 5 }Valueofk=5

Answer 2

Step-by-step explanation:

1 x √5

2√5x√5

√5

2x5

√5

10

so,k=5

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