Question

the value of √343/125 ×√64 is
a.) 11.2 b) 1.12 c)112 d) none of these ​

Answer 1

The complete question is :

The value of  $\sqrt[3]{\frac{343}{125}} \times \sqrt[]{64}$  is

a.) 11.2 b) 1.12 c)112 d) none of these ​

Answer:

The value of the algebraic expression is (a)11.2 as calculated using the properties of mathematical operations.

Solution:

To simplify the expression $\sqrt[3]{\frac{343}{125}} \times \sqrt[]{64}$, we can evaluate each square root separately and then multiply the results.

$\sqrt[3]{\frac{343}{125}} = \sqrt[3](\frac{7^3}{5^3}) = \frac{7}{5}\\\sqrt {64} = 8$

Now, we can multiply the two results:

$\frac{7}{5} \times 8 = 56\div5 =11.2$

Mathematical operations refer to the fundamental calculations performed on numbers or mathematical objects to obtain a desired result. These operations include addition, subtraction, multiplication, division, exponentiation, square root, and more. They are used to perform various calculations and solve mathematical problems in different fields.

Cube root is a mathematical operation that is the opposite of cubing a number. It is the value that, when multiplied by itself three times, gives the original number. In other words, it is the number that, when raised to the power of 3, results in the given number.

Therefore, the value of $\sqrt[3]{\frac{343}{125}} \times \sqrt[]{64}$ is 11.2 .

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