Question

1)2√3+4√3-5√2+7√2
2)4√3×2√3
3)5√2÷6√2
4)1/√3×1/2√3
5)(7-√3)²
6)3√2(√3+2√2)
7)√8+√18-√50
8)(√3-√2)²+2√6
9)(2√2-3√3)²+5
10)-5√3(√3-√5)
11)√32+√50-√98
12)√3×√12
13)(7√3+√5)(7√3-√5)
14)5π-2π+4π+3
15)3√2(√3+2√2)

please answer this​

Answer 1

Answer:

(i) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(ii) We know that rationalization factor foris. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(iii) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(iv) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(v) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(vi) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.

(vii) We know that rationalization factor for is. We will multiply numerator and denominator of the given expression by, to get

Hence the given expression is simplified to.