Question

root 0.0576×?=0.24 0.0576×?=0.24 (option a. none of these , option b. 1010, option c .11 ,option d 0.10.1​

Answer 1

Correct question:

√0.0576 ×? = 0.24

Options: (a) 1 (b) 10 (c) 0.1 (d)  none of these

Option (a) is correct.

Given:

√0.0576 ×? = 0.24

To Find:

The value of '?'

Solution:

Let's assume '?' is x.

LHS or left-hand side is given as √0.0576 ×? or √0.0576 × x.

We need to find the value of √0.0576  

√0.0576 = $\sqrt{\frac{576}{10000} }$

576 is the square of 24 and 10000 is the square of 100.

So, √0.0576 = $\sqrt{\frac{24^{2} }{100^{2} } }$

= $\sqrt{(\frac{24}{100} )^{2} }$

Square root and square will get canceled

√0.0576 = 24/100 = 0.24

But it is equal to RHS or the right-hand side.

√0.0576 ×? = 0.24

0.24 × x = 0.24

x = 1

Thus the value of '?' is 1.

Hence, the correct option is option (a)

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