arrow
arrow
arrow
Solve the following. 30.0009+40.0016\frac{3}{\sqrt{0.0009}}+\frac{4}{\sqrt{0.0016}}0.0009​3​+0.0016​4​​ = ?
Question

Solve the following.
30.0009+40.0016\frac{3}{\sqrt{0.0009}}+\frac{4}{\sqrt{0.0016}}​ = ?

A.

1/200

B.

1/50

C.

200

D.

100

Correct option is C

Given: 

30.0009+40.0016\frac{3}{\sqrt{0.0009}} + \frac{4}{\sqrt{0.0016}}​​

Solution:

30.0009+40.0016\frac{3}{\sqrt{0.0009}} + \frac{4}{\sqrt{0.0016}} 

​ the square roots 

0.0009=0.03\sqrt{0.0009} = 0.03  

(because 0.0320.03^2​=0.0009)

​​0.0016=0.04\sqrt{0.0016} = 0.04 

(because 0.0420.04^2​=0.0016)

Substitute the simplified square roots back into the expression.

=30.03+40.04 \frac{3}{0.03} + \frac{4}{0.04}  

3003+4004 \frac{300}{3} + \frac{400}{4} ​​

= 100 + 100

= 200 

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
test-prime-package

Access ‘RRB NTPC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
368k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow