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Simplify : (sqrt(5)+sqrt(2))^2...

Simplify : `(sqrt(5)+sqrt(2))^2`

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Verified by Experts

expand by using `(a+b)^2`
`(sqrt(5)+sqrt(2))^2`
`{(sqrt(5))^2 +( sqrt(2))^2 + 2 (sqrt 2xx sqrt 5)
=5+2+2(sqrt10)
=7+2(sqrt10)`
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RD SHARMA-RATIONALISATION -All Questions
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  2. Simplify each of the following: (i) 4 3×16 3 (ii) (1250 4)/(2 4)

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  3. Simplify : (sqrt(5)+sqrt(2))^2

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  4. Rationalise the denominator of 2/(sqrt(3)) .

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  5. Simplify the following expressions: (i)(sqrt(3)+sqrt(7))^2 (ii) ...

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  6. Simplify each of the following: (i) root(5)(16)xxroot(5)(2) (ii) ro...

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  7. Simplify the following expressions: (i) (3+sqrt(3))\ (2+sqrt(2)) (i...

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  8. Simplify: (5+\ sqrt(5))\ (5-\ sqrt(5)) (ii) (3+2sqrt(2))\ (3-2sqrt(...

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  9. Simplify : (i) (sqrt(5)+sqrt(2))^2 (ii) (sqrt(11)-sqrt(5))^2

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  10. Simplify each of the following: root(3)4xx root(3)(16) (ii) root(4)...

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  11. Simplify the following expressions: (i)\ (4+\ sqrt(7))\ (3+sqrt(2)) ...

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  12. Simplify the following expressions: (i)\ (11+sqrt(11))\ (11-\ sqrt(11)...

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  13. Simplify the following expressions: (i)(3+sqrt(3))\ (3-sqrt(3)) (ii...

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  14. Simplify the following expressions: (i)\ (sqrt(3)+\ sqrt(7))^2 (ii...

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  15. Rationalise the denominator of 2/(sqrt(3))

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  16. Rationalise the denominator of 1/(3+sqrt(2))

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  17. Rationalise the denominator of 5/(sqrt(3)-\ sqrt(5))

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  18. Rationalise the denominator of 1/(7+3sqrt(2))

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  19. Rationalise the denominator in each of the following: (i)2/(sqrt(7))...

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  20. Given that sqrt(5)=2. 236 approximately, find the three places of deci...

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