Question

√196/7×√900/x=4 then find the value of x
a 1575
b 1521
c 1296
d 2116 with solution​

Answer 1

Answer:

14 /√7×30/√x=4

420/√7×√x=4

420/4×√7=√x

105/√7=√x

square both sides

11025/7=x

1575=x

so, 1575 is answer

Answer 2

Given:

√196/√7 × √900/√x = 4.

To find:

The value of x.

Solution:

As given, we have,

$\frac{√196}{√7} \times \frac{√900}{√x} = 4$

As we know that the square root of 196 and 900 is 14 and 30 respectively. So,

$\frac{14}{√7} \times \frac{30}{√x} = 4$

This can be written as

$\frac{420}{√7 \times \sqrt{x} } = 4$

On taking √x to the RHS and 4 to the denominator of LHS, we get

$\frac{420}{ \sqrt{7} \times 4 } = \sqrt{x}$

$\frac{105}{ \sqrt{7} } = \sqrt{x}$

On squaring both sides, we get

$\frac{ {105}^{2} }{ {7} } = x$

$\frac{11025}{7} = x$

$x = 1575$

So, the value of x is a. 1575.