What is \(\sqrt {\frac{{0.064{\rm{\;}} \times {\rm{\;}}6.25}}{{0.081{\rm{\;}} \times {\rm{\;}}4.84}}} {\rm{\;}}\) equal to?

What is the value of \(\frac{{{{\left( {443{\rm{\;}} + {\rm{\;}}547} \right)}^2} + {\rm{\;}}{{\left( {443{\rm{\;}} - {\rm{\;}}547} \right)}^2}{\rm{\;}}}}{{443{\rm{\;}} \times {\rm{\;}}443{\rm{\;}} + {\rm{\;}}547{\rm{\;}} \times {\rm{\;}}547}}\) ?

What is the square root of \(\frac{{{{\left( {0.35} \right)}^2} + {\rm{\;}}0.70{\rm{\;}} + {\rm{\;}}1}}{{2.25}} + 0.19{\rm{\;}}?\)

If x = 97 + 56√3, then what is the value of \(\sqrt[4]{x}+\frac{1}{\sqrt[4]{x}} \)?

What is x² (px² + qy² + rz²) + qr - p² equal to?

What is the square root of \(15 - 4\sqrt {14} \) ?

If \(\mathbf{x}^{\mathbf{m}}=\sqrt[14]{\mathbf{x} \sqrt{\mathbf{x} \sqrt{\mathbf{x}}}}\) , then what is the value of m? 

If x varies as y, then which of the following is/are correct?

1. x ² + y ² varies as x ² - y ²
2.  \(\frac{x}{y^2}\)  varies inversely as y
3.  \(\sqrt[n]{x^2y}\)  varies as  \(\sqrt[2n]{x^4y^2}\)

Select the correct answer using the code given below:

The value of \(\frac{{{{\left( {251} \right)}^3} + {{\left( {249} \right)}^3}}}{{25.1 \times 25.1 - 624.99 + 24.9 \times 24.9}}\)  is 5 × 10 ^k  , where the value of k is :

Find the value of m in \(\left(\frac{2}{7}\right)^{-3} \times \left(\frac{2}{7}\right)^{-5}=\left (\frac{2}{7}\right)^{-3m+1}\)

Find the value of:

\(\sqrt{150}-\sqrt{54}-\sqrt{24}\)