What is the value of root 75 - root 108 + root 300 - root 243?
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Square root of a number can be simplified by prime factorising the number.
Prime factorisation involves expressing a number as a product of prime numbers.
(75 has 3 and 5 as its prime factors and 48 has 2and 3 as its prime factors)
So,
√75=√5⋅5⋅3=√52⋅3=5√3
√48=√2⋅2⋅2⋅2⋅3=√22⋅22⋅3=4√3
Now,
√75+√48=5√3+4√3=9√3
Prime factorisation involves expressing a number as a product of prime numbers.
(75 has 3 and 5 as its prime factors and 48 has 2and 3 as its prime factors)
So,
√75=√5⋅5⋅3=√52⋅3=5√3
√48=√2⋅2⋅2⋅2⋅3=√22⋅22⋅3=4√3
Now,
√75+√48=5√3+4√3=9√3
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