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Byju's Answer
Standard VII
Mathematics
Square Root by Prime Factorisation Method
How do you si...
Question
How do you simplify the square root of 40?
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Solution
2
√
10
Explanation:
√
40
Write the prime factors for 40.
√
2
×
2
×
2
×
5
Group the same prime factors into pairs.
√
(
2
×
2
)
×
2
×
5
Rewrite
(
2
×
2
)
in exponent form.
√
2
2
×
2
×
5
Apply the rule
√
x
2
=
x
√
2
2
=
2
Simplify,
2
√
2
×
5
Simplify,
2
√
10
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Standard VII Mathematics
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