Question

x=9-4✓5 find the value of ✓x-1/✓x​

Answer 1

If x=9-4√5. ...(1)

find the value of √x-1

√x

from the equation no. 1

we get:

√x-1 = √{9-4√5} -1

√x. √{9-4√5

√x-1 = √{9}-√{4}×√{√5}-1

√x. √{9}-√{4}×√{√5}

√x-1 = 3-2×5-1

√x. 3-2×5

√x-1 = -7-(1)

√x. -7

√x-1 = -8

√x. -7.

√x-1 = 8 or 1.142857

√x. 7