Which square root is not a whole number?

Mathematics

2 answers:

sveta [45]4 years ago

7 0

Square root of 156 is 12.5 which is not a whole number. Square root of 169 is 13. So It is a perfect square.

Jet001 [13]4 years ago

6 0

Answer: 156

Step-by-step explanation:

You didn't provide me with enough information but here is what I found,

A perfect square is the product of a whole number multiplied by itself. Since 156 is between those two numbers its square root cannot be a whole number.

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The two column proof can be presented as follows;

Statement ${}$ Reason

1. RUST is a rectangle ${}$ Given

2. RU = ST ; UT = RS ${}$ Definition of a rectangle

3. ∠STU and ∠SRU are right angles ${}$ Definition of a rectangle

4. ΔURS ≅ ΔSTU ${}$ By SAS rule of congruency

5. ∠USR = ∠SUT ${}$ By CPCTC

Step-by-step explanation:

Given that the side RU, the angle ∠SRU and the side RS of triangle ΔURS are congruent to the side ST the angle ∠STU and the side UT of triangle ΔSTU, then ΔURS is congruent to ΔSTU, by the Side-Angle-Side (SAS) rule of congruency

Therefore, we have that ∠USR ≅ ∠SUT and therefore, it can be shown that ∠USR = ∠SUT using the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.