Question

Simplify. 240−−−√ Responses 1024−−√ 10 square root of 24 415−−√ 4 square root of 15 640−−√ 6 square root of 40 230−−√

Answer 1

By applying the product property of square roots, a simplification of the given expresson include the following: B.
`4√(15)`

In Mathematics and Euclidean Geometry, factors are numbers which can be multiplied together to get another number.

In order to completely simplify the given square root expression, we would have to determine its common factors by grouping as follows;

240 = 2 × 2 × 2 × 2 × 15

240 = 16 × 15

By applying the product property of square roots which states that the square root of the product must always be equal to the product of square roots, we have the following;

`√(240)=√(16 *) \\\\√(240)=√(16) * √(15) \\\\√(240)=4 * √(15)\\\\√(240)=4 √(15)`

Complete Question:

Simplify
`√(240)`

`A. 10√(24) \\\\B. 4√(15) \\\\C. 6√(40)`