Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Find
square root
of
1225
1225
1225
using prime factorisation.
View step-by-step help
Home
Math Problems
Grade 8
Relationship between squares and square roots
Full solution
Q.
Find square root of
1225
1225
1225
using prime factorisation.
Find Prime Factors:
First, let's find the prime
factors
of
1225
1225
1225
.
1225
1225
1225
can be divided by
5
5
5
, so
1225
=
5
×
245
1225 = 5 \times 245
1225
=
5
×
245
.
Divide and Factorize:
Now, let's divide
245
245
245
by
5
5
5
again.
\newline
245
=
5
×
49
245 = 5 \times 49
245
=
5
×
49
.
Identify Perfect Square:
Next, we see that
49
49
49
is a perfect square, which is
7
×
7
7 \times 7
7
×
7
. So, we can write
1225
1225
1225
as
5
×
5
×
7
×
7
5 \times 5 \times 7 \times 7
5
×
5
×
7
×
7
.
Calculate Square Root:
To find the square root, we pair the prime factors.
\newline
The square root of
1225
1225
1225
is
(
5
×
5
×
7
×
7
)
=
5
×
7
\sqrt{(5 \times 5 \times 7 \times 7)} = 5 \times 7
(
5
×
5
×
7
×
7
)
=
5
×
7
.
Final Result:
Therefore, the square root of
1225
1225
1225
is
35
35
35
.
More problems from Relationship between squares and square roots
Question
What is
49
\sqrt{49}
49
?
?
?
\newline
____
Get tutor help
Posted 1 year ago
Question
Complete the following statement. Use the integers that are closest to the number in the middle.
\newline
____
<
<
<
40
\sqrt{40}
40
<
<
<
___
Get tutor help
Posted 1 year ago
Question
What is
−
64
-\sqrt{64}
−
64
?
\newline
____
Get tutor help
Posted 1 year ago
Question
What is
27
3
\sqrt[3]{27}
3
27
?
Get tutor help
Posted 1 year ago
Question
Which two integers is
−
48
-\sqrt{48}
−
48
between?
\newline
Choices:
\newline
[
A
]
−
6
and
−
5
[A]-6 \text{ and } -5
[
A
]
−
6
and
−
5
\newline
[
B
]
5
and
6
[B]5 \text{ and } 6
[
B
]
5
and
6
\newline
[
C
]
−
7
and
−
6
[C]-7 \text{ and } -6
[
C
]
−
7
and
−
6
\newline
[
D
]
6
and
7
[D]6 \text{ and } 7
[
D
]
6
and
7
Get tutor help
Posted 11 months ago
Question
What is the cube root of
−
64
-64
−
64
?
\newline
____
Get tutor help
Posted 1 year ago
Question
Which two integers is
22
3
\sqrt[3]{22}
3
22
between?
\newline
Choices:
\newline
(A)
[
1
and
2
]
[1 \text{ and } 2]
[
1
and
2
]
\newline
(B)
[
15
and
16
]
[15 \text{ and } 16]
[
15
and
16
]
\newline
(C)
[
16
and
17
]
[16 \text{ and } 17]
[
16
and
17
]
\newline
(D)
[
2
and
3
]
[2 \text{ and } 3]
[
2
and
3
]
Get tutor help
Posted 1 year ago
Question
Simplify:
\newline
(
25
)
2
=
_
_
_
_
_
(\sqrt{25})^2 = \_\_\_\_\_
(
25
)
2
=
_____
Get tutor help
Posted 1 year ago
Question
Look at this equation:
\newline
c
3
=
27
c^3 = 27
c
3
=
27
\newline
\newline
What is
c
c
c
, the cube root of
27
27
27
?
\newline
c
=
c =
c
=
____
\newline
Get tutor help
Posted 1 year ago
Question
Write the sentence as an equation.
\newline
172
172
172
is equal to the quotient of
x
x
x
and
4
4
4
\newline
Type a slash (
/
/
/
) if you want to use a division sign.
\newline
_____
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant