Use a fractional index to write: \(\sqrt{5}\)

Use a fractional index to write: \(\left( \sqrt [ 3 ]{ 49 } \right) ^{ 5 }\)

Use a fractional index to write: \(\left( \frac { 1 }{ \sqrt [ 3 ]{ 100 } } \right) ^{ 7 }\)

Given \(\sqrt{2}\) = 1.414, find the value of \(\frac { 8-5\sqrt { 2 } }{ 3-2\sqrt { 2 } } \)  (to 3 places of decimals).

Simplify: \( \left(8.41 \times 10^{4}\right) \div\left(4.3 \times 10^{5}\right) \)

Evaluate: 10^-6

Evaluate: \(\left( \frac { 1 }{ 3 } \right) ^{ -2 }\)

Express each of the following surds in its simplest form \(\sqrt [ 3 ]{ 108 } \) and find its order, radicand and coefficient.

Simplify the following: \(\sqrt { 63 } -\sqrt { 175 } +\sqrt { 28 } \)

Write the following numbers in decimal form:
6.34 \(\times\)10⁴