Question

Find the Cube of √0.03375

Answer 1

Answer:

The cube of √0.03375 is 0.00620027 or 0.0062.

Step-by-step explanation:

Find the Cube of √0.03375.

Given: Cube of Cube of √0.03375

Solutions:

Cube means the exponent of 3.

(√0.03375)^³               The first step is to find the value of √0.03375.

=(0.18371173)^³               Multiply 0.18371173 by itself three times.

=(0.18371173)(0.18371173)(0.18371173)

=0.00620027

You can also use the other process by changing √0.03375 first into exponential form.

√0.03375 = (0.03375)^{1/2}

Solutions:

(√0.03375)^³  

=[(0.03375)^{1/2}]^³     Multiply the the two exponents 1/2 and 3.

=(0.03375)^{3/2}         Change into radical form.

=√(0.03375)^³           Solve the value of (0.03375)^³ and that is 0.00003844.

=√0.00003844        Extract the square root of 0.00003844.

=0.0062

Answer 2

Find the Cube of √0.03375

correction question is

find cube root of 0.003375

0.003375

= 3375/1000000

3375 = 3×1125

1125 = 3 × 375

375 = 3 × 125

125 = 5 × 25

25 = 5 ×5

3375 = 3 × 3 × 3 × 5 × 5 ×5

0.003375 = (3×3×3×5×5×5)/(100×100×100)

$= \frac{{3}^{3} \times {5}^{3} }{ {100}^{3} } \\ \\ so \: \\ \sqrt[3]{0.003375} = \frac{3 \times 5}{100} \\ = \frac{15}{100} = 0.15$