$31 + \sqrt{15+ \sqrt{97+ \sqrt{7+ \sqrt{4}}}}$
Solve nested square roots systematically from the inside out:
\(\sqrt{4} = 2 \rightarrow 7 + 2 = 9\)
\(\sqrt{9} = 3 \rightarrow 97 + 3 = 100\)
\(\sqrt{100} = 10 \rightarrow 15 + 10 = 25\)
\(\sqrt{25} = 5 \rightarrow 31 + 5 = 36 \rightarrow \sqrt{36} = 6\)
Important Questions from Simplification
If P = 0.3 × 0.3 + 0.03 × 0.03 - 0.6 × 0.03 and Q = 0.54, then \(\rm \frac{P}{Q}\) is equal to:
The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \) is
The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:
What will come in the place of question mark (?) in the given expression?
\(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)
There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1 or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?
