the value of √32+√48÷√8+√12
is equal to __________
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Step-by-step explanation:
√32+√48 ÷√8+√12
=√4^2×2+√4^2×3÷√2^2×2+√2^2×3
=4√2+4√3÷2√2+2√3(Here in 4^2 square and roots have cancelled and in 2^2 square and roots have cancelled)
=4(√2+√3)÷2(√2+√3) (Here in numerator 4 and in denominator 2 has taken commom)
=In the above step we should divide numerator and denominator
=That employs : 2 divides 4 which is equal to 2 and √2+√3 are their in numerator and denominator. So they will be cancelled.
=So finally the answer is 2
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