Which is the smallest number that is a perfect square which can be divided by 14, 24, 35 and 77? PLEASE TELL WITH FULL WORKING

853776

Step-by-step explanation:

First we need to find the least common multiple of these 4 numbers.

Factoring the numbers, we have:

14 = 2 * 7

24 = 2 * 2 * 2 * 3

35 = 3 * 7

77 = 7 * 11

The LCM will be 2 * 2 * 2 * 3 * 7 * 11 = 1848

Then, we need a perfect square number, so we need a number where each prime factor appears an even number of times, so the smallest number we can get is:

2 * 2 * 2 * 2 * 3 * 3 * 7 * 7 * 11 * 11 = 853776

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

answ5

step-by-step explanation:

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