All Exams Test series for 1 year @ ₹349 only
Question

Evaluate:
$31 + \sqrt{15+ \sqrt{97+ \sqrt{7+ \sqrt{4}}}}$

The correct answer is
6

Solve nested square roots systematically from the inside out:

\(\sqrt{4} = 2 \rightarrow 7 + 2 = 9\)

\(\sqrt{9} = 3 \rightarrow 97 + 3 = 100\)

\(\sqrt{100} = 10 \rightarrow 15 + 10 = 25\)

\(\sqrt{25} = 5 \rightarrow 31 + 5 = 36 \rightarrow \sqrt{36} = 6\)

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Important Questions from Simplification

  1. 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:

  2. The value of \(\left(\frac{1}{2}\right)^{−2} \times\left(\frac{1}{3}\right)^{−2} \times\left(\frac{1}{4}\right)^{−2} \)  is

  3. The solution of the equation \(\frac{2}{3 x-4}+\frac{2}{2 x-6}=0 \) is:

  4. If \(\rm \sqrt{1225 \times \sqrt{32 \div x}}= 70\)  find the value of x.

  5. What will come in the place of question mark (?) in the given expression?

    \(\sqrt{21+\sqrt{49}+\sqrt{64}} \space {\%\:of\:5000}=?\)

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