d. 2^(3)/(2)times sqrt (2) e. (5sqrt (24)div 2sqrt (50))/(3sqrt (3)) f. sqrt [3](0.001)+sqrt [4](0.0081) g (5^-1)^3times 5^(5)/(4)times sqrt (25)times (sqrt [3](125))^3 h (sqrt (0.64))times (sqrt [3]((1)/(64)))^2times 32^(1)/(5) i. 3^(1)/(4)times 27^(1)/(4) j. sqrt (5+2sqrt (6))+sqrt (8-2sqrt (15))

Question

Answer 1

Let's go through each expression step by step:d.

First, express

as

:

e.

Simplify the numerator:

Now, divide by the denominator:

f.

Convert to exponents:

Add them together:

g. \((5^{-1})^3 \times 5^{\frac{5}{4}} \times \sqrt{25} \times (\sqrt[3]{125})^3\)Simplify each term:

Combine:

Convert 125 to a power of 5:

Combine all terms:

h. \((\sqrt{0.64}) \times (\sqrt[3]{\frac{1}{64}})^2 \times 32^{\frac{1}{5}}\)Simplify each term:

Combine:

i.

Convert 27 to a power of 3:

Combine:

j. \(\sqrt{5 + 2\sqrt{6}} + \sqrt{8 - 2\sqrt{15

Question