Question

when we rationalize the denominator of 1/√7 then it becomes k/√7 then find the value of k​

Answer 1

Answer:

k=√7

Step-by-step explanation:

1/√7

1(√7)/√7(√7)

√7/7

k=7

Answer 2

Given:

When rationalizing  the denominator of $\frac{1}{\sqrt{7} }$  it becomes $\frac{k}{\sqrt{7} }$

To find:

The value of k.

Solution:

When rationalizing  the denominator of $\frac{1}{\sqrt{7} }$  it becomes $\frac{k}{\sqrt{7} }$

To rationalize the denominator of $\frac{1}{\sqrt{7} }$

Multiply the numerator and denominator by $\sqrt{7}$

We get,

$\frac{1}{\sqrt{7} }$  × $\frac{\sqrt{7} }{\sqrt{7} }$ = $\frac{k}{\sqrt{7} }$

$\frac{\sqrt{7} }{7}$ = $\frac{k}{\sqrt{7} }$

k = $\frac{\sqrt{7} }{7}$  × $\sqrt{7}$

k = $\frac{7}{7}$

k = 1

Therefore,

The value of k is 1

Final answer:

The value of k is 1