Share
what is the square root of show your workings √ 81 / 625
Question
what is the square root of show your workings
√ 81 / 625
in progress
0
Mathematics
3 years
2021-08-31T14:48:54+00:00
2021-08-31T14:48:54+00:00 2 Answers
0 views
0
Answers ( )
The sqrt function has the distributive property.
So sqrt(a/b) = sqrt(a) / sqrt(b).
In this case, a = 81, and b = 625.
sqrt(81) = 9.
sqrt(625) = 25.
So sqrt(81/625) = 9 / 25.
To get a decimal representation, multiply by a form of 1 that makes the denominator a power of 10. Here, 25 * 4 = 100, so
9/25 * 4/4 = 36/100 = 0.36
Answer:
81 = 3⁴
√81
= √3⁴
=√(3²)(3²)
=√(3²)²
=3²
=3×3
=9
———————————————————————
√625
=√5⁴
=√(5²)(5²)
=√(5²)²
=5×5
=25