For each question, select the proper option from four options given, to make the statement true : (Final answer only)

If $(\sqrt{5}+3)^{2}=a+b \sqrt{5},$ then........

  • A

    $a=14, b=6$

  • B

    $a=8, b=3$

  • C

    $a=14,  b=3$

  • D

    $a=8, b=6$

Similar Questions

Simplify $: 2^{-3}+(0.01)^{-\frac{1}{2}}-(27)^{\frac{2}{3}}$

Simplify:

$(\frac{1}{27})^{\frac{-2}{3}}$

Simplify:

${{(625)^{-\frac{1}{2}}}^{-\frac{1}{4}}}^{2}$

Find the values of each of the following correct to three places of decimals, rationalising the denominator if needed and taking $\sqrt{2}=1.414$ $\sqrt{3}=1.732$ and $\sqrt{5}=2.236$

$\frac{\sqrt{10}-\sqrt{5}}{2}$

Find three different irrational numbers between the rational numbers $\frac{1}{3}$ and $\frac{7}{9}$.