Find the two square roots?

Question

My homework question says to find the TWO square roots of the following numbers:

 

64; 169; 256; 400; 1600; 0.04; 0.36; 1.21

 

Why are there two square roots? How do I find them? I am having an especially difficult time with the decimals.

Answer 1

All numbers have two square roots. The principle positive square root as well as the negative square root. The reason for this is because when multiplying a negative number by another negative number we get a positive result. So for example:

8*8 = 64

but. . .

-8*-8 also = 64

So the square root of 64 is both positive 8 and negative 8

The first few should be obvious:
√64 = ± 8
√169 = ± 13
√256 = ± 16
√400 = ± 20
√1600 = ± 40

For the next you need to break apart the decimals and think of them as fractions:
√0.04 = √(4/100) = √4 / √100 = ± 2/10 = ± 0.2
√0.36 = √36/100 = ± 6/10 = ± 0.6
√1.21 = √121/100 = ± 11/10 = ± 1.1

Answer 2

MY HOMEWORK SAYS "WHAT ARE THE 20 MOST FAMOUS SQUARE ROOTS"

Answer 3

my homework says simplify square roots ..

square root of 5 p squared to the 3rd  times square root ofr 2 p squared to the 3rd ??

Answer 4

 

Two roots of

x3 ax2 bx 5 0 + + - = are equal

to 4 and -2. Find the values of

a and b .

Answer 5

for 64 one of them is 8 and these arn't decimals

Answer 6

8,-8

Answer 7

Two square roots of 400